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Finding the Third Proportional to 988,324.88 and 2,165,761.13

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Solution

The third proportional to 988,324.88 and 2,165,761.13 is: 4,745,930.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    988,324.88 : 2,165,761.13 = 2,165,761.13 : x
  2. Step 2: Convert to fraction form
    988,324.88/2,165,761.13 = 2,165,761.13/x
  3. Step 3: Cross multiply
    988,324.88x = 2,165,761.13 × 2,165,761.13
  4. Step 4: Simplify right side
    988,324.88x = 4,690,521,250,561.27
  5. Step 5: Solve for x
    x = 4,690,521,250,561.27/988,324.88
  6. Step 6: Final answer
    x = 4,745,930.58

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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.