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Finding the Third Proportional to 547,023.38 and 1,189,796.34

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Solution

The third proportional to 547,023.38 and 1,189,796.34 is: 2,587,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,023.38 : 1,189,796.34 = 1,189,796.34 : x
  2. Step 2: Convert to fraction form
    547,023.38/1,189,796.34 = 1,189,796.34/x
  3. Step 3: Cross multiply
    547,023.38x = 1,189,796.34 × 1,189,796.34
  4. Step 4: Simplify right side
    547,023.38x = 1,415,615,339,600.87
  5. Step 5: Solve for x
    x = 1,415,615,339,600.87/547,023.38
  6. Step 6: Final answer
    x = 2,587,851.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.