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Finding the Third Proportional to 1,275,167.81 and 2,694,249.84

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Solution

The third proportional to 1,275,167.81 and 2,694,249.84 is: 5,692,570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275,167.81 : 2,694,249.84 = 2,694,249.84 : x
  2. Step 2: Convert to fraction form
    1,275,167.81/2,694,249.84 = 2,694,249.84/x
  3. Step 3: Cross multiply
    1,275,167.81x = 2,694,249.84 × 2,694,249.84
  4. Step 4: Simplify right side
    1,275,167.81x = 7,258,982,220,546.90
  5. Step 5: Solve for x
    x = 7,258,982,220,546.90/1,275,167.81
  6. Step 6: Final answer
    x = 5,692,570.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.