Final answer:
The statement is true; many Progressives supported women's suffrage, leading to the adoption of the Nineteenth Amendment, which was passed in 1919 and ratified in 1920, granting women the right to vote nationally.
Step-by-step explanation:
The statement that many Progressives supported women's suffrage, helping women secure the right to vote through the adoption of the Nineteenth Amendment to the United States Constitution in 1919, is true. The Nineteenth Amendment, which provided full voting rights for women nationally, was indeed passed by Congress in June of 1919 and was ratified in August of 1920. Support for this amendment grew during the Progressive Era, which saw women's increasing involvement in working outside the home, pursuing higher education, and advocating for reforms, including the right to vote. The suffrage movement was further propelled by women's contributions to the war effort during World War I, demonstrating their commitment to democracy and enhancing the argument for their full participation in it.
Over time, suffrage at the local and state level laid the groundwork for this federal victory, and education played a pivotal role in mobilizing women around these issues. Prior to the national amendment, various states and even cities had granted partial or full suffrage to women, increasing the political pressure for federal action. Ultimately, the tireless efforts of suffragists and the shifting political landscape made the ratification of the Nineteenth Amendment possible, allowing women to vote throughout the nation.