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Melbourne ( (listen) MEL-bərn; Woiwurrung: Naarm) is the capital and most-populous city of the Australian state of Victoria, and the second-most populous city in Australia and Oceania. Its name refers to an urban agglomeration of 9,993 km2 (3,858 sq mi), comprising a metropolitan area with 31 municipalities, and is also a common name for its city centre. The city occupies much of the coastline of Port Phillip bay and spreads into the Hinterland towards the Dandenong and Macedon ranges, Mornington Peninsula and Yarra Valley. It has a population of 5 million (19% of the population of Australia), and its inhabitants are referred to as "Melburnians".Home to Indigenous Australians for over 40,000 years, the Melbourne area served as a popular meeting place for local Kulin nation clans. A short-lived penal settlement was established at Port Phillip, then part of the British colony of New South Wales, in 1803, but it was not until 1835, with the arrival of free settlers from Van Diemen’s Land (modern-day Tasmania), that Melbourne was founded. It was incorporated as a Crown settlement in 1837, and named Melbourne in honour of the then British Prime Minister, William Lamb, 2nd Viscount Melbourne. In 1851, four years after Queen Victoria declared it a city, Melbourne became the capital of the new colony of Victoria. In the wake of the 1850s Victorian gold rush, the city entered a lengthy boom period that, by the late 1880s, had transformed it into one of the world's largest and wealthiest metropolises.
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Manhattan (), often referred to by residents of the New York City area as the City, is the most densely populated of the five boroughs of New York City, and coextensive with the County of New York, one of the original counties of the U.S. state of New York. Manhattan serves as the city's economic and administrative center, cultural identifier, and historical birthplace. The borough consists mostly of Manhattan Island, bounded by the Hudson, East, and Harlem rivers; as well as several small adjacent islands. Manhattan additionally contains Marble Hill, a small neighborhood now on the U.S. mainland, separated from the rest of Manhattan by the Harlem Ship Canal and later connected using landfill to the Bronx. Manhattan Island is divided into three informally bounded components, each aligned with the borough's long axis: Lower, Midtown, and Upper Manhattan.
Manhattan has been described as the cultural, financial, media, and entertainment capital of the world, and the borough hosts the United Nations Headquarters. Anchored by Wall Street in the Financial District of Lower Manhattan, New York City has been called both the most economically powerful city and the leading financial center of the world, and Manhattan is home to the world's two largest stock exchanges by total market capitalization: the New York Stock Exchange and NASDAQ. Many multinational media conglomerates are based in Manhattan, and the borough has been the setting for numerous books, films, and television shows. Manhattan real estate has since become among the most expensive in the world, with the value of Manhattan Island, including real estate, estimated to exceed US$3 trillion in 2013; median residential property sale prices in Manhattan approximated US$1,600 per square foot ($17,000/m2) as of 2018, with Fifth Avenue in Midtown Manhattan commanding the highest retail rents in the world, at US$3,000 per square foot ($32,000/m2) per year in 2017.Manhattan traces its origins to a trading post founded by colonists from the Dutch Republic in 1624 on Lower Manhattan; the post was named New Amsterdam in 1626. Manhattan is historically documented to have been purchased by Dutch colonists from Native Americans in 1626 for 60 guilders, which equals roughly $1059 in current terms. The territory and its surroundings came under English control in 1664 and were renamed New York after King Charles II of England granted the lands to his brother, the Duke of York.