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Finding the Third Proportional to 1,311,405.50 and 2,023,171.49

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Solution

The third proportional to 1,311,405.50 and 2,023,171.49 is: 3,121,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311,405.50 : 2,023,171.49 = 2,023,171.49 : x
  2. Step 2: Convert to fraction form
    1,311,405.50/2,023,171.49 = 2,023,171.49/x
  3. Step 3: Cross multiply
    1,311,405.50x = 2,023,171.49 × 2,023,171.49
  4. Step 4: Simplify right side
    1,311,405.50x = 4,093,222,870,993.97
  5. Step 5: Solve for x
    x = 4,093,222,870,993.97/1,311,405.50
  6. Step 6: Final answer
    x = 3,121,248.81

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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.