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Finding the Third Proportional to 1,262,175.75 and 2,598,778.13

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Solution

The third proportional to 1,262,175.75 and 2,598,778.13 is: 5,350,798.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262,175.75 : 2,598,778.13 = 2,598,778.13 : x
  2. Step 2: Convert to fraction form
    1,262,175.75/2,598,778.13 = 2,598,778.13/x
  3. Step 3: Cross multiply
    1,262,175.75x = 2,598,778.13 × 2,598,778.13
  4. Step 4: Simplify right side
    1,262,175.75x = 6,753,647,742,978.52
  5. Step 5: Solve for x
    x = 6,753,647,742,978.52/1,262,175.75
  6. Step 6: Final answer
    x = 5,350,798.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.