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Finding the Third Proportional to 471,981 and 1,022,691

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Solution

The third proportional to 471,981 and 1,022,691 is: 2,215,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,981 : 1,022,691 = 1,022,691 : x
  2. Step 2: Convert to fraction form
    471,981/1,022,691 = 1,022,691/x
  3. Step 3: Cross multiply
    471,981x = 1,022,691 × 1,022,691
  4. Step 4: Simplify right side
    471,981x = 1,045,896,881,481
  5. Step 5: Solve for x
    x = 1,045,896,881,481/471,981
  6. Step 6: Final answer
    x = 2,215,972.43

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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.