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Finding the Third Proportional to 3,171,885 and 4,743,975

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Solution

The third proportional to 3,171,885 and 4,743,975 is: 7,095,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171,885 : 4,743,975 = 4,743,975 : x
  2. Step 2: Convert to fraction form
    3,171,885/4,743,975 = 4,743,975/x
  3. Step 3: Cross multiply
    3,171,885x = 4,743,975 × 4,743,975
  4. Step 4: Simplify right side
    3,171,885x = 22,505,298,800,625
  5. Step 5: Solve for x
    x = 22,505,298,800,625/3,171,885
  6. Step 6: Final answer
    x = 7,095,244.25

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Why These Related Problems?

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