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Finding the Third Proportional to 715,870.41 and 1,543,824.56

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Solution

The third proportional to 715,870.41 and 1,543,824.56 is: 3,329,365.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,870.41 : 1,543,824.56 = 1,543,824.56 : x
  2. Step 2: Convert to fraction form
    715,870.41/1,543,824.56 = 1,543,824.56/x
  3. Step 3: Cross multiply
    715,870.41x = 1,543,824.56 × 1,543,824.56
  4. Step 4: Simplify right side
    715,870.41x = 2,383,394,279,778.32
  5. Step 5: Solve for x
    x = 2,383,394,279,778.32/715,870.41
  6. Step 6: Final answer
    x = 3,329,365.57

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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.