The phrase "a crucial push" is correct and usable in written English.
It can be used to describe an important or necessary motivation or encouragement needed to achieve a goal or make progress.
Example: "The team received a crucial push from their mentor, which helped them complete the project on time."
Alternatives: "an essential boost" or "a vital nudge."
In January, 2008, Barack Obama won the South Carolina Democratic primary, largely on the strength of African-American votes; a state in the Deep South gave a black candidate a crucial push in his campaign for the White House.
Mr. Corzine, who ran Goldman Sachs before entering politics, eagerly defended his decision to invest heavily in European sovereign debt, saying that it was part of a crucial push to return the firm to profitability.
"I wouldn't rule out the administration testing the water next year to see whether they can get the votes in the Senate to ratify the global test ban treaty, which would provide a crucial push towards it coming into force".
Mr. Ma, Mr. Ax, the violinists Itzhak Perlman, Pinchas Zukerman, Shlomo Mintz, Sergiu Luca, Joseph Swenson and Cho-Liang Lin and the pianist Yefim Bronfman were all given a crucial push by Mr. Stern early in their careers.
Domestic growth opportunity may be a crucial push factor of apparel retailers' internationalization.
The year before, Dylan Kidd's nervy filmmaking debut, "Roger Dodger," starring Campbell Scott as an obnoxious smoothie introducing his naïve teenage nephew to the fleshpots of New York, won, and the victory lent the movie a crucial promotional push.
Under the previous Labour government, Farr played a crucial role pushing for the 90-day and then 42-day detention limits, along with what was then known as the "interception modernisation project", which morphed, under the coalition, into the communications data bill.
Sprint and Verizon don't seem to understand that two of the three crucial push-to-talk advantages (saving time and airtime minutes) rely on instantaneous connections.
If Bush wins, they will rightly perceive the first few months after the election as a crucial opportunity to push, hard, for a post-Iraq series of foreign-policy moves.
In 2014, the fans played a crucial role in pushing the club from low to high.
This year was meant to be a crucial one for pushing through the master plan, known as the Single European Sky.
