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Finding the Third Proportional to 786,977.44 and 1,694,359.69

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Solution

The third proportional to 786,977.44 and 1,694,359.69 is: 3,647,950.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,977.44 : 1,694,359.69 = 1,694,359.69 : x
  2. Step 2: Convert to fraction form
    786,977.44/1,694,359.69 = 1,694,359.69/x
  3. Step 3: Cross multiply
    786,977.44x = 1,694,359.69 × 1,694,359.69
  4. Step 4: Simplify right side
    786,977.44x = 2,870,854,750,625.10
  5. Step 5: Solve for x
    x = 2,870,854,750,625.10/786,977.44
  6. Step 6: Final answer
    x = 3,647,950.52

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Why These Related Problems?

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