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Finding the Third Proportional to 432,868 and 924,542

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Solution

The third proportional to 432,868 and 924,542 is: 1,974,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,868 : 924,542 = 924,542 : x
  2. Step 2: Convert to fraction form
    432,868/924,542 = 924,542/x
  3. Step 3: Cross multiply
    432,868x = 924,542 × 924,542
  4. Step 4: Simplify right side
    432,868x = 854,777,909,764
  5. Step 5: Solve for x
    x = 854,777,909,764/432,868
  6. Step 6: Final answer
    x = 1,974,684.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.