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Finding the Third Proportional to 417,516 and 930,654

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Solution

The third proportional to 417,516 and 930,654 is: 2,074,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,516 : 930,654 = 930,654 : x
  2. Step 2: Convert to fraction form
    417,516/930,654 = 930,654/x
  3. Step 3: Cross multiply
    417,516x = 930,654 × 930,654
  4. Step 4: Simplify right side
    417,516x = 866,116,867,716
  5. Step 5: Solve for x
    x = 866,116,867,716/417,516
  6. Step 6: Final answer
    x = 2,074,451.92

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.