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Finding the Third Proportional to 625,112 and 963,608

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Solution

The third proportional to 625,112 and 963,608 is: 1,485,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,112 : 963,608 = 963,608 : x
  2. Step 2: Convert to fraction form
    625,112/963,608 = 963,608/x
  3. Step 3: Cross multiply
    625,112x = 963,608 × 963,608
  4. Step 4: Simplify right side
    625,112x = 928,540,377,664
  5. Step 5: Solve for x
    x = 928,540,377,664/625,112
  6. Step 6: Final answer
    x = 1,485,398.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.