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Finding the Third Proportional to 2,271,422 and 5,003,734

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Solution

The third proportional to 2,271,422 and 5,003,734 is: 11,022,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271,422 : 5,003,734 = 5,003,734 : x
  2. Step 2: Convert to fraction form
    2,271,422/5,003,734 = 5,003,734/x
  3. Step 3: Cross multiply
    2,271,422x = 5,003,734 × 5,003,734
  4. Step 4: Simplify right side
    2,271,422x = 25,037,353,942,756
  5. Step 5: Solve for x
    x = 25,037,353,942,756/2,271,422
  6. Step 6: Final answer
    x = 11,022,766.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.