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Finding the Third Proportional to 690,782 and 1,486,540

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Solution

The third proportional to 690,782 and 1,486,540 is: 3,198,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,782 : 1,486,540 = 1,486,540 : x
  2. Step 2: Convert to fraction form
    690,782/1,486,540 = 1,486,540/x
  3. Step 3: Cross multiply
    690,782x = 1,486,540 × 1,486,540
  4. Step 4: Simplify right side
    690,782x = 2,209,801,171,600
  5. Step 5: Solve for x
    x = 2,209,801,171,600/690,782
  6. Step 6: Final answer
    x = 3,198,984.88

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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.