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Finding the Third Proportional to 417,192 and 908,742

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Solution

The third proportional to 417,192 and 908,742 is: 1,979,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,192 : 908,742 = 908,742 : x
  2. Step 2: Convert to fraction form
    417,192/908,742 = 908,742/x
  3. Step 3: Cross multiply
    417,192x = 908,742 × 908,742
  4. Step 4: Simplify right side
    417,192x = 825,812,022,564
  5. Step 5: Solve for x
    x = 825,812,022,564/417,192
  6. Step 6: Final answer
    x = 1,979,453.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.