Either there must have been more than two dragons that survived the War of Wrath, or they bred. There were three dragons mentioned in the Third Age, Smaug, Scatha and the cold-drake that killed Dain I and Frór. The cold-drake can't be Scatha, for Scatha was already dead then, and it can't be Smaug, for he was a fire-dragon.
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There are three kinds of people in this world. Those who can count, and those who can't.
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