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Finding the Third Proportional to 981,569 and 1,472,354

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Solution

The third proportional to 981,569 and 1,472,354 is: 2,208,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,569 : 1,472,354 = 1,472,354 : x
  2. Step 2: Convert to fraction form
    981,569/1,472,354 = 1,472,354/x
  3. Step 3: Cross multiply
    981,569x = 1,472,354 × 1,472,354
  4. Step 4: Simplify right side
    981,569x = 2,167,826,301,316
  5. Step 5: Solve for x
    x = 2,167,826,301,316/981,569
  6. Step 6: Final answer
    x = 2,208,531.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.