Republicans emphatically approved a toughly worded party platform at their national convention Tuesday that would ban all abortions and gay marriages, reshape Medicare into a voucher-like program and cut taxes to energize the economy and create jobs.

The document opens by warning that while the American Dream has long been of equal opportunity for everyone, ‘‘Today that American Dream is at risk.’’ It pledges that the GOP will ‘‘begin anew, with profound changes in the way government operates; the way it budgets, taxes and regulates.’’

Both parties routinely approve platforms at their conventions every four years, meant to encapsulate their principles and goals. Much of their details are customarily ignored when it comes to actually governing.

Even so, a poll by the nonpartisan Pew Research Center found more people interested in the GOP platform than in the upcoming acceptance speeches by presidential candidate Mitt Romney and his running mate, Paul Ryan. The survey found that 52 percent said they were interested in learning about the Republican platform, compared to 44 percent interested in Romney’s speech and 46 percent interested in Ryan’s.

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