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Finding the Third Proportional to 721,792 and 1,566,528

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Solution

The third proportional to 721,792 and 1,566,528 is: 3,399,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,792 : 1,566,528 = 1,566,528 : x
  2. Step 2: Convert to fraction form
    721,792/1,566,528 = 1,566,528/x
  3. Step 3: Cross multiply
    721,792x = 1,566,528 × 1,566,528
  4. Step 4: Simplify right side
    721,792x = 2,454,009,974,784
  5. Step 5: Solve for x
    x = 2,454,009,974,784/721,792
  6. Step 6: Final answer
    x = 3,399,885.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.