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Finding the Third Proportional to 424,072.97 and 914,576.06

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Solution

The third proportional to 424,072.97 and 914,576.06 is: 1,972,418.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,072.97 : 914,576.06 = 914,576.06 : x
  2. Step 2: Convert to fraction form
    424,072.97/914,576.06 = 914,576.06/x
  3. Step 3: Cross multiply
    424,072.97x = 914,576.06 × 914,576.06
  4. Step 4: Simplify right side
    424,072.97x = 836,449,374,098.00
  5. Step 5: Solve for x
    x = 836,449,374,098.00/424,072.97
  6. Step 6: Final answer
    x = 1,972,418.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.