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Finding the Third Proportional to 599,252 and 1,283,797

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Solution

The third proportional to 599,252 and 1,283,797 is: 2,750,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,252 : 1,283,797 = 1,283,797 : x
  2. Step 2: Convert to fraction form
    599,252/1,283,797 = 1,283,797/x
  3. Step 3: Cross multiply
    599,252x = 1,283,797 × 1,283,797
  4. Step 4: Simplify right side
    599,252x = 1,648,134,737,209
  5. Step 5: Solve for x
    x = 1,648,134,737,209/599,252
  6. Step 6: Final answer
    x = 2,750,319.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.