WASHINGTON — House Democrats pushing a comprehensive approach to overhauling the nation’s immigration system picked up the support of a third Republican on Wednesday.

Freshman Rep. David Valadao of California said he would back a measure that would provide a path to citizenship for the 11 million immigrants living here illegally and tighten border security. Valadao joins Republicans Reps. Jeff Denham of California and Ileana Ros-Lehtinen of Florida in announcing support for the Democratic bill.