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Finding the Third Proportional to 425,987.25 and 911,826.75

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Solution

The third proportional to 425,987.25 and 911,826.75 is: 1,951,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,987.25 : 911,826.75 = 911,826.75 : x
  2. Step 2: Convert to fraction form
    425,987.25/911,826.75 = 911,826.75/x
  3. Step 3: Cross multiply
    425,987.25x = 911,826.75 × 911,826.75
  4. Step 4: Simplify right side
    425,987.25x = 831,428,022,015.56
  5. Step 5: Solve for x
    x = 831,428,022,015.56/425,987.25
  6. Step 6: Final answer
    x = 1,951,767.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.