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The immigration of Muslims into the Ottoman Empire, especially from Russia and the Balkans, is a feature of late imperial Ottoman history whose legacy remains strong to this day. Millions of individuals in present-day Turkey trace their roots back to the Balkans or Russia, and interest in these regions remains high in Turkey. Estimates of Muslim immigrants to the Ottoman Empire vary, although most sources place the total number of Muslims leaving Russia for the Ottoman Empire in the latter half of the 19th century and early 20th century at well over one million. As Russian Muslims in 1897 were considered to number nearly 20 million while Ottoman Muslims counted in the same year numbered 14.1 million, this population shift involved a significant proportion of the Muslim populations of both empires.
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James H. Meyer (2007) studied this question.
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