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Finding the Third Proportional to 639,423 and 954,747

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Solution

The third proportional to 639,423 and 954,747 is: 1,425,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,423 : 954,747 = 954,747 : x
  2. Step 2: Convert to fraction form
    639,423/954,747 = 954,747/x
  3. Step 3: Cross multiply
    639,423x = 954,747 × 954,747
  4. Step 4: Simplify right side
    639,423x = 911,541,834,009
  5. Step 5: Solve for x
    x = 911,541,834,009/639,423
  6. Step 6: Final answer
    x = 1,425,569.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.