Cayman Islands is about 1,541 times smaller than Paraguay.

Paraguay is approximately 406,752 sq km, while Cayman Islands is approximately 264 sq km, making Cayman Islands 0.06% the size of Paraguay. Meanwhile, the population of Paraguay is ~7.4 million people (7.3 million fewer people live in Cayman Islands).
This to-scale comparison of Paraguay vs. Cayman Islands uses the Mercator projection, which distorts the size of regions near the poles. Learn more.

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