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Finding the Third Proportional to 417,546.38 and 894,141.75

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Solution

The third proportional to 417,546.38 and 894,141.75 is: 1,914,732.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,546.38 : 894,141.75 = 894,141.75 : x
  2. Step 2: Convert to fraction form
    417,546.38/894,141.75 = 894,141.75/x
  3. Step 3: Cross multiply
    417,546.38x = 894,141.75 × 894,141.75
  4. Step 4: Simplify right side
    417,546.38x = 799,489,469,093.06
  5. Step 5: Solve for x
    x = 799,489,469,093.06/417,546.38
  6. Step 6: Final answer
    x = 1,914,732.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.