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Finding the Third Proportional to 599,832 and 1,267,096

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Solution

The third proportional to 599,832 and 1,267,096 is: 2,676,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,832 : 1,267,096 = 1,267,096 : x
  2. Step 2: Convert to fraction form
    599,832/1,267,096 = 1,267,096/x
  3. Step 3: Cross multiply
    599,832x = 1,267,096 × 1,267,096
  4. Step 4: Simplify right side
    599,832x = 1,605,532,273,216
  5. Step 5: Solve for x
    x = 1,605,532,273,216/599,832
  6. Step 6: Final answer
    x = 2,676,636.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.