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Finding the Third Proportional to 715,786.88 and 1,543,654.97

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Solution

The third proportional to 715,786.88 and 1,543,654.97 is: 3,329,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,786.88 : 1,543,654.97 = 1,543,654.97 : x
  2. Step 2: Convert to fraction form
    715,786.88/1,543,654.97 = 1,543,654.97/x
  3. Step 3: Cross multiply
    715,786.88x = 1,543,654.97 × 1,543,654.97
  4. Step 4: Simplify right side
    715,786.88x = 2,382,870,662,546.56
  5. Step 5: Solve for x
    x = 2,382,870,662,546.56/715,786.88
  6. Step 6: Final answer
    x = 3,329,022.57

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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.