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Finding the Third Proportional to 617,214 and 961,908

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Solution

The third proportional to 617,214 and 961,908 is: 1,499,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,214 : 961,908 = 961,908 : x
  2. Step 2: Convert to fraction form
    617,214/961,908 = 961,908/x
  3. Step 3: Cross multiply
    617,214x = 961,908 × 961,908
  4. Step 4: Simplify right side
    617,214x = 925,267,000,464
  5. Step 5: Solve for x
    x = 925,267,000,464/617,214
  6. Step 6: Final answer
    x = 1,499,102.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.