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Finding the Third Proportional to 1,253,265.75 and 2,741,266.13

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Solution

The third proportional to 1,253,265.75 and 2,741,266.13 is: 5,995,966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,265.75 : 2,741,266.13 = 2,741,266.13 : x
  2. Step 2: Convert to fraction form
    1,253,265.75/2,741,266.13 = 2,741,266.13/x
  3. Step 3: Cross multiply
    1,253,265.75x = 2,741,266.13 × 2,741,266.13
  4. Step 4: Simplify right side
    1,253,265.75x = 7,514,539,968,072.52
  5. Step 5: Solve for x
    x = 7,514,539,968,072.52/1,253,265.75
  6. Step 6: Final answer
    x = 5,995,966.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.