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Finding the Third Proportional to 2,271,214.13 and 3,491,011.13

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Solution

The third proportional to 2,271,214.13 and 3,491,011.13 is: 5,365,922.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271,214.13 : 3,491,011.13 = 3,491,011.13 : x
  2. Step 2: Convert to fraction form
    2,271,214.13/3,491,011.13 = 3,491,011.13/x
  3. Step 3: Cross multiply
    2,271,214.13x = 3,491,011.13 × 3,491,011.13
  4. Step 4: Simplify right side
    2,271,214.13x = 12,187,158,674,873.77
  5. Step 5: Solve for x
    x = 12,187,158,674,873.77/2,271,214.13
  6. Step 6: Final answer
    x = 5,365,922.37

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