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Finding the Third Proportional to 798,042.38 and 1,728,793.13

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Solution

The third proportional to 798,042.38 and 1,728,793.13 is: 3,745,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,042.38 : 1,728,793.13 = 1,728,793.13 : x
  2. Step 2: Convert to fraction form
    798,042.38/1,728,793.13 = 1,728,793.13/x
  3. Step 3: Cross multiply
    798,042.38x = 1,728,793.13 × 1,728,793.13
  4. Step 4: Simplify right side
    798,042.38x = 2,988,725,669,047.27
  5. Step 5: Solve for x
    x = 2,988,725,669,047.27/798,042.38
  6. Step 6: Final answer
    x = 3,745,071.39

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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.