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Finding the Third Proportional to 426,101.25 and 932,377.38

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Solution

The third proportional to 426,101.25 and 932,377.38 is: 2,040,190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,101.25 : 932,377.38 = 932,377.38 : x
  2. Step 2: Convert to fraction form
    426,101.25/932,377.38 = 932,377.38/x
  3. Step 3: Cross multiply
    426,101.25x = 932,377.38 × 932,377.38
  4. Step 4: Simplify right side
    426,101.25x = 869,327,569,411.89
  5. Step 5: Solve for x
    x = 869,327,569,411.89/426,101.25
  6. Step 6: Final answer
    x = 2,040,190.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.