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Finding the Third Proportional to 599,302 and 1,287,542

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Solution

The third proportional to 599,302 and 1,287,542 is: 2,766,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,302 : 1,287,542 = 1,287,542 : x
  2. Step 2: Convert to fraction form
    599,302/1,287,542 = 1,287,542/x
  3. Step 3: Cross multiply
    599,302x = 1,287,542 × 1,287,542
  4. Step 4: Simplify right side
    599,302x = 1,657,764,401,764
  5. Step 5: Solve for x
    x = 1,657,764,401,764/599,302
  6. Step 6: Final answer
    x = 2,766,158.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.