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Finding the Third Proportional to 1,189,591.31 and 1,914,991.88

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Solution

The third proportional to 1,189,591.31 and 1,914,991.88 is: 3,082,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,591.31 : 1,914,991.88 = 1,914,991.88 : x
  2. Step 2: Convert to fraction form
    1,189,591.31/1,914,991.88 = 1,914,991.88/x
  3. Step 3: Cross multiply
    1,189,591.31x = 1,914,991.88 × 1,914,991.88
  4. Step 4: Simplify right side
    1,189,591.31x = 3,667,193,881,316.02
  5. Step 5: Solve for x
    x = 3,667,193,881,316.02/1,189,591.31
  6. Step 6: Final answer
    x = 3,082,734.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.