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Finding the Third Proportional to 2,543,406.75 and 3,815,150.63

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Solution

The third proportional to 2,543,406.75 and 3,815,150.63 is: 5,722,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543,406.75 : 3,815,150.63 = 3,815,150.63 : x
  2. Step 2: Convert to fraction form
    2,543,406.75/3,815,150.63 = 3,815,150.63/x
  3. Step 3: Cross multiply
    2,543,406.75x = 3,815,150.63 × 3,815,150.63
  4. Step 4: Simplify right side
    2,543,406.75x = 14,555,374,291,437.89
  5. Step 5: Solve for x
    x = 14,555,374,291,437.89/2,543,406.75
  6. Step 6: Final answer
    x = 5,722,786.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.