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Finding the Third Proportional to 762,876 and 1,658,591

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Solution

The third proportional to 762,876 and 1,658,591 is: 3,605,991.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,876 : 1,658,591 = 1,658,591 : x
  2. Step 2: Convert to fraction form
    762,876/1,658,591 = 1,658,591/x
  3. Step 3: Cross multiply
    762,876x = 1,658,591 × 1,658,591
  4. Step 4: Simplify right side
    762,876x = 2,750,924,105,281
  5. Step 5: Solve for x
    x = 2,750,924,105,281/762,876
  6. Step 6: Final answer
    x = 3,605,991.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.