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Finding the Third Proportional to 3,458,464 and 5,198,832

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Solution

The third proportional to 3,458,464 and 5,198,832 is: 7,814,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458,464 : 5,198,832 = 5,198,832 : x
  2. Step 2: Convert to fraction form
    3,458,464/5,198,832 = 5,198,832/x
  3. Step 3: Cross multiply
    3,458,464x = 5,198,832 × 5,198,832
  4. Step 4: Simplify right side
    3,458,464x = 27,027,854,164,224
  5. Step 5: Solve for x
    x = 27,027,854,164,224/3,458,464
  6. Step 6: Final answer
    x = 7,814,987.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.