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Finding the Third Proportional to 1,150,224.75 and 2,419,431.75

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Solution

The third proportional to 1,150,224.75 and 2,419,431.75 is: 5,089,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150,224.75 : 2,419,431.75 = 2,419,431.75 : x
  2. Step 2: Convert to fraction form
    1,150,224.75/2,419,431.75 = 2,419,431.75/x
  3. Step 3: Cross multiply
    1,150,224.75x = 2,419,431.75 × 2,419,431.75
  4. Step 4: Simplify right side
    1,150,224.75x = 5,853,649,992,908.06
  5. Step 5: Solve for x
    x = 5,853,649,992,908.06/1,150,224.75
  6. Step 6: Final answer
    x = 5,089,135.83

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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.