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Finding the Third Proportional to 639,497 and 1,381,459

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Solution

The third proportional to 639,497 and 1,381,459 is: 2,984,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,497 : 1,381,459 = 1,381,459 : x
  2. Step 2: Convert to fraction form
    639,497/1,381,459 = 1,381,459/x
  3. Step 3: Cross multiply
    639,497x = 1,381,459 × 1,381,459
  4. Step 4: Simplify right side
    639,497x = 1,908,428,968,681
  5. Step 5: Solve for x
    x = 1,908,428,968,681/639,497
  6. Step 6: Final answer
    x = 2,984,265.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.