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Finding the Third Proportional to 950,329.50 and 2,067,964.13

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Solution

The third proportional to 950,329.50 and 2,067,964.13 is: 4,499,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,329.50 : 2,067,964.13 = 2,067,964.13 : x
  2. Step 2: Convert to fraction form
    950,329.50/2,067,964.13 = 2,067,964.13/x
  3. Step 3: Cross multiply
    950,329.50x = 2,067,964.13 × 2,067,964.13
  4. Step 4: Simplify right side
    950,329.50x = 4,276,475,622,287.02
  5. Step 5: Solve for x
    x = 4,276,475,622,287.02/950,329.50
  6. Step 6: Final answer
    x = 4,499,992.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.