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Finding the Third Proportional to 792,357.75 and 1,650,377.25

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Solution

The third proportional to 792,357.75 and 1,650,377.25 is: 3,437,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,357.75 : 1,650,377.25 = 1,650,377.25 : x
  2. Step 2: Convert to fraction form
    792,357.75/1,650,377.25 = 1,650,377.25/x
  3. Step 3: Cross multiply
    792,357.75x = 1,650,377.25 × 1,650,377.25
  4. Step 4: Simplify right side
    792,357.75x = 2,723,745,067,317.56
  5. Step 5: Solve for x
    x = 2,723,745,067,317.56/792,357.75
  6. Step 6: Final answer
    x = 3,437,519.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.