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Finding the Third Proportional to 2,271,226.50 and 3,491,037.56

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Solution

The third proportional to 2,271,226.50 and 3,491,037.56 is: 5,365,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271,226.50 : 3,491,037.56 = 3,491,037.56 : x
  2. Step 2: Convert to fraction form
    2,271,226.50/3,491,037.56 = 3,491,037.56/x
  3. Step 3: Cross multiply
    2,271,226.50x = 3,491,037.56 × 3,491,037.56
  4. Step 4: Simplify right side
    2,271,226.50x = 12,187,343,262,785.94
  5. Step 5: Solve for x
    x = 12,187,343,262,785.94/2,271,226.50
  6. Step 6: Final answer
    x = 5,365,974.40

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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.