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Finding the Third Proportional to 625,871 and 941,721

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Solution

The third proportional to 625,871 and 941,721 is: 1,416,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,871 : 941,721 = 941,721 : x
  2. Step 2: Convert to fraction form
    625,871/941,721 = 941,721/x
  3. Step 3: Cross multiply
    625,871x = 941,721 × 941,721
  4. Step 4: Simplify right side
    625,871x = 886,838,441,841
  5. Step 5: Solve for x
    x = 886,838,441,841/625,871
  6. Step 6: Final answer
    x = 1,416,966.82

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Why These Related Problems?

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