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Finding the Third Proportional to 476,614 and 992,432

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Solution

The third proportional to 476,614 and 992,432 is: 2,066,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,614 : 992,432 = 992,432 : x
  2. Step 2: Convert to fraction form
    476,614/992,432 = 992,432/x
  3. Step 3: Cross multiply
    476,614x = 992,432 × 992,432
  4. Step 4: Simplify right side
    476,614x = 984,921,274,624
  5. Step 5: Solve for x
    x = 984,921,274,624/476,614
  6. Step 6: Final answer
    x = 2,066,496.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.