New Mexico is about 2,328 times bigger than Christmas Island.

Christmas Island is approximately 135 sq km, while New Mexico is approximately 314,310 sq km, making New Mexico 232,722% larger than Christmas Island. Meanwhile, the population of Christmas Island is ~2,205 people (2.1 million more people live in New Mexico).
Tip: This to-scale comparison of Christmas Island vs. New Mexico uses the Mercator projection, which distorts the size of regions near the poles.