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Finding the Third Proportional to 693,418 and 1,491,812

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Solution

The third proportional to 693,418 and 1,491,812 is: 3,209,468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,418 : 1,491,812 = 1,491,812 : x
  2. Step 2: Convert to fraction form
    693,418/1,491,812 = 1,491,812/x
  3. Step 3: Cross multiply
    693,418x = 1,491,812 × 1,491,812
  4. Step 4: Simplify right side
    693,418x = 2,225,503,043,344
  5. Step 5: Solve for x
    x = 2,225,503,043,344/693,418
  6. Step 6: Final answer
    x = 3,209,468.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.