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Finding the Third Proportional to 3,278,211.75 and 4,917,322.69

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Solution

The third proportional to 3,278,211.75 and 4,917,322.69 is: 7,375,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278,211.75 : 4,917,322.69 = 4,917,322.69 : x
  2. Step 2: Convert to fraction form
    3,278,211.75/4,917,322.69 = 4,917,322.69/x
  3. Step 3: Cross multiply
    3,278,211.75x = 4,917,322.69 × 4,917,322.69
  4. Step 4: Simplify right side
    3,278,211.75x = 24,180,062,413,002.22
  5. Step 5: Solve for x
    x = 24,180,062,413,002.22/3,278,211.75
  6. Step 6: Final answer
    x = 7,375,991.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.