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Finding the Third Proportional to 599,844 and 1,267,116

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Solution

The third proportional to 599,844 and 1,267,116 is: 2,676,667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,844 : 1,267,116 = 1,267,116 : x
  2. Step 2: Convert to fraction form
    599,844/1,267,116 = 1,267,116/x
  3. Step 3: Cross multiply
    599,844x = 1,267,116 × 1,267,116
  4. Step 4: Simplify right side
    599,844x = 1,605,582,957,456
  5. Step 5: Solve for x
    x = 1,605,582,957,456/599,844
  6. Step 6: Final answer
    x = 2,676,667.53

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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.