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Finding the Third Proportional to 613,400 and 1,334,800

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Solution

The third proportional to 613,400 and 1,334,800 is: 2,904,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,400 : 1,334,800 = 1,334,800 : x
  2. Step 2: Convert to fraction form
    613,400/1,334,800 = 1,334,800/x
  3. Step 3: Cross multiply
    613,400x = 1,334,800 × 1,334,800
  4. Step 4: Simplify right side
    613,400x = 1,781,691,040,000
  5. Step 5: Solve for x
    x = 1,781,691,040,000/613,400
  6. Step 6: Final answer
    x = 2,904,615.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.