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Finding the Third Proportional to 539,023.78 and 1,187,418.66

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Solution

The third proportional to 539,023.78 and 1,187,418.66 is: 2,615,771.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,023.78 : 1,187,418.66 = 1,187,418.66 : x
  2. Step 2: Convert to fraction form
    539,023.78/1,187,418.66 = 1,187,418.66/x
  3. Step 3: Cross multiply
    539,023.78x = 1,187,418.66 × 1,187,418.66
  4. Step 4: Simplify right side
    539,023.78x = 1,409,963,065,210.56
  5. Step 5: Solve for x
    x = 1,409,963,065,210.56/539,023.78
  6. Step 6: Final answer
    x = 2,615,771.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.