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Finding the Third Proportional to 401,834 and 885,442

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Solution

The third proportional to 401,834 and 885,442 is: 1,951,073.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,834 : 885,442 = 885,442 : x
  2. Step 2: Convert to fraction form
    401,834/885,442 = 885,442/x
  3. Step 3: Cross multiply
    401,834x = 885,442 × 885,442
  4. Step 4: Simplify right side
    401,834x = 784,007,535,364
  5. Step 5: Solve for x
    x = 784,007,535,364/401,834
  6. Step 6: Final answer
    x = 1,951,073.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.