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Finding the Third Proportional to 622,204 and 962,464

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Solution

The third proportional to 622,204 and 962,464 is: 1,488,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,204 : 962,464 = 962,464 : x
  2. Step 2: Convert to fraction form
    622,204/962,464 = 962,464/x
  3. Step 3: Cross multiply
    622,204x = 962,464 × 962,464
  4. Step 4: Simplify right side
    622,204x = 926,336,951,296
  5. Step 5: Solve for x
    x = 926,336,951,296/622,204
  6. Step 6: Final answer
    x = 1,488,799.42

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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.