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Last name Agat (Agate , Agat ) , across the world, is quite a rare surname. The family name Agat is characteristic of British Virgin Islands, where it is quite a common surname, Togo, where it is quite a rare surname, and Latvia. Measured by absolute frequency, it most frequently occurs in India, Italy, and the United States. Likewise, Agat is the forename as well as the last name.