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Finding the Third Proportional to 658,016 and 1,428,780

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Solution

The third proportional to 658,016 and 1,428,780 is: 3,102,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,016 : 1,428,780 = 1,428,780 : x
  2. Step 2: Convert to fraction form
    658,016/1,428,780 = 1,428,780/x
  3. Step 3: Cross multiply
    658,016x = 1,428,780 × 1,428,780
  4. Step 4: Simplify right side
    658,016x = 2,041,412,288,400
  5. Step 5: Solve for x
    x = 2,041,412,288,400/658,016
  6. Step 6: Final answer
    x = 3,102,374.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.