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Finding the Third Proportional to 641,012 and 1,383,570

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Solution

The third proportional to 641,012 and 1,383,570 is: 2,986,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,012 : 1,383,570 = 1,383,570 : x
  2. Step 2: Convert to fraction form
    641,012/1,383,570 = 1,383,570/x
  3. Step 3: Cross multiply
    641,012x = 1,383,570 × 1,383,570
  4. Step 4: Simplify right side
    641,012x = 1,914,265,944,900
  5. Step 5: Solve for x
    x = 1,914,265,944,900/641,012
  6. Step 6: Final answer
    x = 2,986,318.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.