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Finding the Third Proportional to 1,150,190.44 and 2,419,366.78

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Solution

The third proportional to 1,150,190.44 and 2,419,366.78 is: 5,089,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150,190.44 : 2,419,366.78 = 2,419,366.78 : x
  2. Step 2: Convert to fraction form
    1,150,190.44/2,419,366.78 = 2,419,366.78/x
  3. Step 3: Cross multiply
    1,150,190.44x = 2,419,366.78 × 2,419,366.78
  4. Step 4: Simplify right side
    1,150,190.44x = 5,853,335,622,215.99
  5. Step 5: Solve for x
    x = 5,853,335,622,215.99/1,150,190.44
  6. Step 6: Final answer
    x = 5,089,014.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.