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Finding the Third Proportional to 2,271,212.16 and 3,491,015.20

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Solution

The third proportional to 2,271,212.16 and 3,491,015.20 is: 5,365,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271,212.16 : 3,491,015.20 = 3,491,015.20 : x
  2. Step 2: Convert to fraction form
    2,271,212.16/3,491,015.20 = 3,491,015.20/x
  3. Step 3: Cross multiply
    2,271,212.16x = 3,491,015.20 × 3,491,015.20
  4. Step 4: Simplify right side
    2,271,212.16x = 12,187,187,148,449.88
  5. Step 5: Solve for x
    x = 12,187,187,148,449.88/2,271,212.16
  6. Step 6: Final answer
    x = 5,365,939.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.