New York and Chicago are both dense US metros, and for a bread-and-butter local query like "dentist" the local pack is proximity-driven and completely different in each. The businesses in the New York 3-pack never appear in the Chicago one.
This is the everyday reality of local SEO: rank is a fact about one city, not the country. Seeing two packs side by side makes that concrete.
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Open New York SERP ↗New York
gl=us · hl=en
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Open Chicago SERP ↗Chicago
gl=us · hl=en
Want a different query or different cities? Open this in the tool and change anything — or browse more comparisons.