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Finding the Third Proportional to 741,340.13 and 1,618,615.97

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Solution

The third proportional to 741,340.13 and 1,618,615.97 is: 3,534,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,340.13 : 1,618,615.97 = 1,618,615.97 : x
  2. Step 2: Convert to fraction form
    741,340.13/1,618,615.97 = 1,618,615.97/x
  3. Step 3: Cross multiply
    741,340.13x = 1,618,615.97 × 1,618,615.97
  4. Step 4: Simplify right side
    741,340.13x = 2,619,917,654,292.50
  5. Step 5: Solve for x
    x = 2,619,917,654,292.50/741,340.13
  6. Step 6: Final answer
    x = 3,534,029.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.