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Finding the Third Proportional to 1,181,382.75 and 2,524,698

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Solution

The third proportional to 1,181,382.75 and 2,524,698 is: 5,395,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,382.75 : 2,524,698 = 2,524,698 : x
  2. Step 2: Convert to fraction form
    1,181,382.75/2,524,698 = 2,524,698/x
  3. Step 3: Cross multiply
    1,181,382.75x = 2,524,698 × 2,524,698
  4. Step 4: Simplify right side
    1,181,382.75x = 6,374,099,991,204
  5. Step 5: Solve for x
    x = 6,374,099,991,204/1,181,382.75
  6. Step 6: Final answer
    x = 5,395,457.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.