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Finding the Third Proportional to 451,917 and 963,882

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Solution

The third proportional to 451,917 and 963,882 is: 2,055,838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,917 : 963,882 = 963,882 : x
  2. Step 2: Convert to fraction form
    451,917/963,882 = 963,882/x
  3. Step 3: Cross multiply
    451,917x = 963,882 × 963,882
  4. Step 4: Simplify right side
    451,917x = 929,068,509,924
  5. Step 5: Solve for x
    x = 929,068,509,924/451,917
  6. Step 6: Final answer
    x = 2,055,838.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.