Finding the Third Proportional to 472,938 and 1,037,853
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Solution
The third proportional to 472,938 and 1,037,853 is: 2,277,547.69
Step by Step Solution
- Step 1: Write the proportion equation
472,938 : 1,037,853 = 1,037,853 : x - Step 2: Convert to fraction form
472,938/1,037,853 = 1,037,853/x - Step 3: Cross multiply
472,938x = 1,037,853 × 1,037,853 - Step 4: Simplify right side
472,938x = 1,077,138,849,609 - Step 5: Solve for x
x = 1,077,138,849,609/472,938 - Step 6: Final answer
x = 2,277,547.69
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.