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Finding the Third Proportional to 3,917,976 and 5,936,218.75

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Solution

The third proportional to 3,917,976 and 5,936,218.75 is: 8,994,106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917,976 : 5,936,218.75 = 5,936,218.75 : x
  2. Step 2: Convert to fraction form
    3,917,976/5,936,218.75 = 5,936,218.75/x
  3. Step 3: Cross multiply
    3,917,976x = 5,936,218.75 × 5,936,218.75
  4. Step 4: Simplify right side
    3,917,976x = 35,238,693,047,851.56
  5. Step 5: Solve for x
    x = 35,238,693,047,851.56/3,917,976
  6. Step 6: Final answer
    x = 8,994,106.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.