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Finding the Third Proportional to 769,643.44 and 1,651,365.56

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Solution

The third proportional to 769,643.44 and 1,651,365.56 is: 3,543,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,643.44 : 1,651,365.56 = 1,651,365.56 : x
  2. Step 2: Convert to fraction form
    769,643.44/1,651,365.56 = 1,651,365.56/x
  3. Step 3: Cross multiply
    769,643.44x = 1,651,365.56 × 1,651,365.56
  4. Step 4: Simplify right side
    769,643.44x = 2,727,008,221,010.94
  5. Step 5: Solve for x
    x = 2,727,008,221,010.94/769,643.44
  6. Step 6: Final answer
    x = 3,543,209.87

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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.