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Finding the Third Proportional to 769,444.88 and 1,320,237.56

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Solution

The third proportional to 769,444.88 and 1,320,237.56 is: 2,265,304.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,444.88 : 1,320,237.56 = 1,320,237.56 : x
  2. Step 2: Convert to fraction form
    769,444.88/1,320,237.56 = 1,320,237.56/x
  3. Step 3: Cross multiply
    769,444.88x = 1,320,237.56 × 1,320,237.56
  4. Step 4: Simplify right side
    769,444.88x = 1,743,027,221,435.94
  5. Step 5: Solve for x
    x = 1,743,027,221,435.94/769,444.88
  6. Step 6: Final answer
    x = 2,265,304.87

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.