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Finding the Third Proportional to 617,161 and 925,742

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Solution

The third proportional to 617,161 and 925,742 is: 1,388,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,161 : 925,742 = 925,742 : x
  2. Step 2: Convert to fraction form
    617,161/925,742 = 925,742/x
  3. Step 3: Cross multiply
    617,161x = 925,742 × 925,742
  4. Step 4: Simplify right side
    617,161x = 856,998,250,564
  5. Step 5: Solve for x
    x = 856,998,250,564/617,161
  6. Step 6: Final answer
    x = 1,388,613.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.