Christmas Island is about 7,635 times smaller than Mauritania.

Mauritania is approximately 1,030,700 sq km, while Christmas Island is approximately 135 sq km, making Christmas Island 0.01% the size of Mauritania. Meanwhile, the population of Mauritania is ~4.2 million people (4.2 million fewer people live in Christmas Island).
This to-scale comparison of Mauritania vs. Christmas Island uses the Mercator projection, which distorts the size of regions near the poles. Learn more.

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