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Finding the Third Proportional to 1,150,194 and 2,419,375.50

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Solution

The third proportional to 1,150,194 and 2,419,375.50 is: 5,089,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150,194 : 2,419,375.50 = 2,419,375.50 : x
  2. Step 2: Convert to fraction form
    1,150,194/2,419,375.50 = 2,419,375.50/x
  3. Step 3: Cross multiply
    1,150,194x = 2,419,375.50 × 2,419,375.50
  4. Step 4: Simplify right side
    1,150,194x = 5,853,377,810,000.25
  5. Step 5: Solve for x
    x = 5,853,377,810,000.25/1,150,194
  6. Step 6: Final answer
    x = 5,089,035.25

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