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Finding the Third Proportional to 966,879.75 and 2,049,016.50

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Solution

The third proportional to 966,879.75 and 2,049,016.50 is: 4,342,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,879.75 : 2,049,016.50 = 2,049,016.50 : x
  2. Step 2: Convert to fraction form
    966,879.75/2,049,016.50 = 2,049,016.50/x
  3. Step 3: Cross multiply
    966,879.75x = 2,049,016.50 × 2,049,016.50
  4. Step 4: Simplify right side
    966,879.75x = 4,198,468,617,272.25
  5. Step 5: Solve for x
    x = 4,198,468,617,272.25/966,879.75
  6. Step 6: Final answer
    x = 4,342,286.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.