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Finding the Third Proportional to 424,293.19 and 914,743.13

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Solution

The third proportional to 424,293.19 and 914,743.13 is: 1,972,115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,293.19 : 914,743.13 = 914,743.13 : x
  2. Step 2: Convert to fraction form
    424,293.19/914,743.13 = 914,743.13/x
  3. Step 3: Cross multiply
    424,293.19x = 914,743.13 × 914,743.13
  4. Step 4: Simplify right side
    424,293.19x = 836,754,984,734.77
  5. Step 5: Solve for x
    x = 836,754,984,734.77/424,293.19
  6. Step 6: Final answer
    x = 1,972,115.06

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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.