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Finding the Third Proportional to 513,744.75 and 1,108,932.75

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Solution

The third proportional to 513,744.75 and 1,108,932.75 is: 2,393,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,744.75 : 1,108,932.75 = 1,108,932.75 : x
  2. Step 2: Convert to fraction form
    513,744.75/1,108,932.75 = 1,108,932.75/x
  3. Step 3: Cross multiply
    513,744.75x = 1,108,932.75 × 1,108,932.75
  4. Step 4: Simplify right side
    513,744.75x = 1,229,731,844,022.56
  5. Step 5: Solve for x
    x = 1,229,731,844,022.56/513,744.75
  6. Step 6: Final answer
    x = 2,393,663.09

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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.