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Finding the Third Proportional to 747,201.38 and 1,547,569.97

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Solution

The third proportional to 747,201.38 and 1,547,569.97 is: 3,205,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,201.38 : 1,547,569.97 = 1,547,569.97 : x
  2. Step 2: Convert to fraction form
    747,201.38/1,547,569.97 = 1,547,569.97/x
  3. Step 3: Cross multiply
    747,201.38x = 1,547,569.97 × 1,547,569.97
  4. Step 4: Simplify right side
    747,201.38x = 2,394,972,808,176.88
  5. Step 5: Solve for x
    x = 2,394,972,808,176.88/747,201.38
  6. Step 6: Final answer
    x = 3,205,257.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.