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Finding the Third Proportional to 853,743.80 and 1,741,781.29

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Solution

The third proportional to 853,743.80 and 1,741,781.29 is: 3,553,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,743.80 : 1,741,781.29 = 1,741,781.29 : x
  2. Step 2: Convert to fraction form
    853,743.80/1,741,781.29 = 1,741,781.29/x
  3. Step 3: Cross multiply
    853,743.80x = 1,741,781.29 × 1,741,781.29
  4. Step 4: Simplify right side
    853,743.80x = 3,033,802,045,320.38
  5. Step 5: Solve for x
    x = 3,033,802,045,320.38/853,743.80
  6. Step 6: Final answer
    x = 3,553,527.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.