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Finding the Third Proportional to 622,154 and 962,387

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Solution

The third proportional to 622,154 and 962,387 is: 1,488,680.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,154 : 962,387 = 962,387 : x
  2. Step 2: Convert to fraction form
    622,154/962,387 = 962,387/x
  3. Step 3: Cross multiply
    622,154x = 962,387 × 962,387
  4. Step 4: Simplify right side
    622,154x = 926,188,737,769
  5. Step 5: Solve for x
    x = 926,188,737,769/622,154
  6. Step 6: Final answer
    x = 1,488,680.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.