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Finding the Third Proportional to 417,171 and 912,747

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Solution

The third proportional to 417,171 and 912,747 is: 1,997,039.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,171 : 912,747 = 912,747 : x
  2. Step 2: Convert to fraction form
    417,171/912,747 = 912,747/x
  3. Step 3: Cross multiply
    417,171x = 912,747 × 912,747
  4. Step 4: Simplify right side
    417,171x = 833,107,086,009
  5. Step 5: Solve for x
    x = 833,107,086,009/417,171
  6. Step 6: Final answer
    x = 1,997,039.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.