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Finding the Third Proportional to 762,132 and 1,625,496

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Solution

The third proportional to 762,132 and 1,625,496 is: 3,466,902.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,132 : 1,625,496 = 1,625,496 : x
  2. Step 2: Convert to fraction form
    762,132/1,625,496 = 1,625,496/x
  3. Step 3: Cross multiply
    762,132x = 1,625,496 × 1,625,496
  4. Step 4: Simplify right side
    762,132x = 2,642,237,246,016
  5. Step 5: Solve for x
    x = 2,642,237,246,016/762,132
  6. Step 6: Final answer
    x = 3,466,902.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.