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Finding the Third Proportional to 457,961.88 and 978,947.75

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Solution

The third proportional to 457,961.88 and 978,947.75 is: 2,092,616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,961.88 : 978,947.75 = 978,947.75 : x
  2. Step 2: Convert to fraction form
    457,961.88/978,947.75 = 978,947.75/x
  3. Step 3: Cross multiply
    457,961.88x = 978,947.75 × 978,947.75
  4. Step 4: Simplify right side
    457,961.88x = 958,338,697,230.06
  5. Step 5: Solve for x
    x = 958,338,697,230.06/457,961.88
  6. Step 6: Final answer
    x = 2,092,616.76

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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.