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Finding the Third Proportional to 1,157,375.78 and 2,535,416.44

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Solution

The third proportional to 1,157,375.78 and 2,535,416.44 is: 5,554,234.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,375.78 : 2,535,416.44 = 2,535,416.44 : x
  2. Step 2: Convert to fraction form
    1,157,375.78/2,535,416.44 = 2,535,416.44/x
  3. Step 3: Cross multiply
    1,157,375.78x = 2,535,416.44 × 2,535,416.44
  4. Step 4: Simplify right side
    1,157,375.78x = 6,428,336,511,545.19
  5. Step 5: Solve for x
    x = 6,428,336,511,545.19/1,157,375.78
  6. Step 6: Final answer
    x = 5,554,234.53

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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.