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Finding the Third Proportional to 1,149,805.13 and 2,418,786.56

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Solution

The third proportional to 1,149,805.13 and 2,418,786.56 is: 5,088,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,805.13 : 2,418,786.56 = 2,418,786.56 : x
  2. Step 2: Convert to fraction form
    1,149,805.13/2,418,786.56 = 2,418,786.56/x
  3. Step 3: Cross multiply
    1,149,805.13x = 2,418,786.56 × 2,418,786.56
  4. Step 4: Simplify right side
    1,149,805.13x = 5,850,528,434,930.57
  5. Step 5: Solve for x
    x = 5,850,528,434,930.57/1,149,805.13
  6. Step 6: Final answer
    x = 5,088,278.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.