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Finding the Third Proportional to 769,338 and 1,674,132.75

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Solution

The third proportional to 769,338 and 1,674,132.75 is: 3,643,028.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,338 : 1,674,132.75 = 1,674,132.75 : x
  2. Step 2: Convert to fraction form
    769,338/1,674,132.75 = 1,674,132.75/x
  3. Step 3: Cross multiply
    769,338x = 1,674,132.75 × 1,674,132.75
  4. Step 4: Simplify right side
    769,338x = 2,802,720,464,622.56
  5. Step 5: Solve for x
    x = 2,802,720,464,622.56/769,338
  6. Step 6: Final answer
    x = 3,643,028.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.