That's not anywhere near an accurate analogy.
Population wise, NYC has us. Land area, yeah, we're larger, but land area doesn't vote.
New York Population 2018
http://worldpopulationreview.com/states/new-york-population/
"New York State has an overall population density of 421 people per square mile, with an area of 47,126 square miles.When most people think of New York, they immediately think of New York City, the largest city in the US. New York City is also the most densely populated major city in the country. Nearly 43% of New York state's population live in the 305 square miles that comprise New York City. The next largest city in the state of New York is Buffalo, with just over 250,000 residents. This means New York City is over 33 times larger than the second largest city in New York. New York's state capital Albany is home to just under 100 thousand residents."
The population figures of the city might make you think this, but the real power is in who these people are. They are rich and powerful.