This is the 2723rd most frequent Russian word.
государственной
The Russian word "государственной" translates to "state" or "governmental" in English, denoting something related to the state or government.
The term 'государственным' is used here as an adjective to describe the university as being part of or related to the state or government structure.
Университет имени Ломоносова является государственным учебным заведением.
Lomonosov University is a state educational institution.
In this sentence, 'государственной' as an adjective describes the type of importance attributed to the museum, indicating national or governmental significance.
Мы посетили музей государственной важности в центре города.
We visited a museum of state importance in the city center.
Here, 'государственную' is used to characterize the program as being implemented or sanctioned by the government, emphasizing its public or official nature.