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Finding the Third Proportional to 769,493 and 1,149,932

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Solution

The third proportional to 769,493 and 1,149,932 is: 1,718,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,493 : 1,149,932 = 1,149,932 : x
  2. Step 2: Convert to fraction form
    769,493/1,149,932 = 1,149,932/x
  3. Step 3: Cross multiply
    769,493x = 1,149,932 × 1,149,932
  4. Step 4: Simplify right side
    769,493x = 1,322,343,604,624
  5. Step 5: Solve for x
    x = 1,322,343,604,624/769,493
  6. Step 6: Final answer
    x = 1,718,460.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.