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Finding the Third Proportional to 605,757 and 1,321,542

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Solution

The third proportional to 605,757 and 1,321,542 is: 2,883,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,757 : 1,321,542 = 1,321,542 : x
  2. Step 2: Convert to fraction form
    605,757/1,321,542 = 1,321,542/x
  3. Step 3: Cross multiply
    605,757x = 1,321,542 × 1,321,542
  4. Step 4: Simplify right side
    605,757x = 1,746,473,257,764
  5. Step 5: Solve for x
    x = 1,746,473,257,764/605,757
  6. Step 6: Final answer
    x = 2,883,125.18

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Why These Related Problems?

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