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Finding the Third Proportional to 1,150,322 and 2,419,600

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Solution

The third proportional to 1,150,322 and 2,419,600 is: 5,089,413.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150,322 : 2,419,600 = 2,419,600 : x
  2. Step 2: Convert to fraction form
    1,150,322/2,419,600 = 2,419,600/x
  3. Step 3: Cross multiply
    1,150,322x = 2,419,600 × 2,419,600
  4. Step 4: Simplify right side
    1,150,322x = 5,854,464,160,000
  5. Step 5: Solve for x
    x = 5,854,464,160,000/1,150,322
  6. Step 6: Final answer
    x = 5,089,413.36

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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.