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Finding the Third Proportional to 786,963.94 and 1,694,329.31

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Solution

The third proportional to 786,963.94 and 1,694,329.31 is: 3,647,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,963.94 : 1,694,329.31 = 1,694,329.31 : x
  2. Step 2: Convert to fraction form
    786,963.94/1,694,329.31 = 1,694,329.31/x
  3. Step 3: Cross multiply
    786,963.94x = 1,694,329.31 × 1,694,329.31
  4. Step 4: Simplify right side
    786,963.94x = 2,870,751,819,196.72
  5. Step 5: Solve for x
    x = 2,870,751,819,196.72/786,963.94
  6. Step 6: Final answer
    x = 3,647,882.30

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.