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Finding the Third Proportional to 1,101,026.25 and 2,233,176.75

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Solution

The third proportional to 1,101,026.25 and 2,233,176.75 is: 4,529,481.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101,026.25 : 2,233,176.75 = 2,233,176.75 : x
  2. Step 2: Convert to fraction form
    1,101,026.25/2,233,176.75 = 2,233,176.75/x
  3. Step 3: Cross multiply
    1,101,026.25x = 2,233,176.75 × 2,233,176.75
  4. Step 4: Simplify right side
    1,101,026.25x = 4,987,078,396,740.56
  5. Step 5: Solve for x
    x = 4,987,078,396,740.56/1,101,026.25
  6. Step 6: Final answer
    x = 4,529,481.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.