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Finding the Third Proportional to 742,800.75 and 1,627,997.25

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Solution

The third proportional to 742,800.75 and 1,627,997.25 is: 3,568,083.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,800.75 : 1,627,997.25 = 1,627,997.25 : x
  2. Step 2: Convert to fraction form
    742,800.75/1,627,997.25 = 1,627,997.25/x
  3. Step 3: Cross multiply
    742,800.75x = 1,627,997.25 × 1,627,997.25
  4. Step 4: Simplify right side
    742,800.75x = 2,650,375,046,007.56
  5. Step 5: Solve for x
    x = 2,650,375,046,007.56/742,800.75
  6. Step 6: Final answer
    x = 3,568,083.43

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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.