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Finding the Third Proportional to 1,678,249.13 and 2,581,083.56

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Solution

The third proportional to 1,678,249.13 and 2,581,083.56 is: 3,969,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678,249.13 : 2,581,083.56 = 2,581,083.56 : x
  2. Step 2: Convert to fraction form
    1,678,249.13/2,581,083.56 = 2,581,083.56/x
  3. Step 3: Cross multiply
    1,678,249.13x = 2,581,083.56 × 2,581,083.56
  4. Step 4: Simplify right side
    1,678,249.13x = 6,661,992,356,607.69
  5. Step 5: Solve for x
    x = 6,661,992,356,607.69/1,678,249.13
  6. Step 6: Final answer
    x = 3,969,608.72

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.