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Finding the Third Proportional to 813,882 and 1,767,874

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Solution

The third proportional to 813,882 and 1,767,874 is: 3,840,087.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,882 : 1,767,874 = 1,767,874 : x
  2. Step 2: Convert to fraction form
    813,882/1,767,874 = 1,767,874/x
  3. Step 3: Cross multiply
    813,882x = 1,767,874 × 1,767,874
  4. Step 4: Simplify right side
    813,882x = 3,125,378,479,876
  5. Step 5: Solve for x
    x = 3,125,378,479,876/813,882
  6. Step 6: Final answer
    x = 3,840,087.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.