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Finding the Third Proportional to 617,198 and 961,885

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Solution

The third proportional to 617,198 and 961,885 is: 1,499,069.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,198 : 961,885 = 961,885 : x
  2. Step 2: Convert to fraction form
    617,198/961,885 = 961,885/x
  3. Step 3: Cross multiply
    617,198x = 961,885 × 961,885
  4. Step 4: Simplify right side
    617,198x = 925,222,753,225
  5. Step 5: Solve for x
    x = 925,222,753,225/617,198
  6. Step 6: Final answer
    x = 1,499,069.59

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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.