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Finding the Third Proportional to 527,386 and 1,136,902

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Solution

The third proportional to 527,386 and 1,136,902 is: 2,450,854.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,386 : 1,136,902 = 1,136,902 : x
  2. Step 2: Convert to fraction form
    527,386/1,136,902 = 1,136,902/x
  3. Step 3: Cross multiply
    527,386x = 1,136,902 × 1,136,902
  4. Step 4: Simplify right side
    527,386x = 1,292,546,157,604
  5. Step 5: Solve for x
    x = 1,292,546,157,604/527,386
  6. Step 6: Final answer
    x = 2,450,854.13

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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.