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Finding the Third Proportional to 639,297 and 992,562

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Solution

The third proportional to 639,297 and 992,562 is: 1,541,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,297 : 992,562 = 992,562 : x
  2. Step 2: Convert to fraction form
    639,297/992,562 = 992,562/x
  3. Step 3: Cross multiply
    639,297x = 992,562 × 992,562
  4. Step 4: Simplify right side
    639,297x = 985,179,323,844
  5. Step 5: Solve for x
    x = 985,179,323,844/639,297
  6. Step 6: Final answer
    x = 1,541,035.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.