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Finding the Third Proportional to 417,536 and 914,872

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Solution

The third proportional to 417,536 and 914,872 is: 2,004,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,536 : 914,872 = 914,872 : x
  2. Step 2: Convert to fraction form
    417,536/914,872 = 914,872/x
  3. Step 3: Cross multiply
    417,536x = 914,872 × 914,872
  4. Step 4: Simplify right side
    417,536x = 836,990,776,384
  5. Step 5: Solve for x
    x = 836,990,776,384/417,536
  6. Step 6: Final answer
    x = 2,004,595.48

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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.