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Finding the Third Proportional to 559,593 and 1,198,965

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Solution

The third proportional to 559,593 and 1,198,965 is: 2,568,861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,593 : 1,198,965 = 1,198,965 : x
  2. Step 2: Convert to fraction form
    559,593/1,198,965 = 1,198,965/x
  3. Step 3: Cross multiply
    559,593x = 1,198,965 × 1,198,965
  4. Step 4: Simplify right side
    559,593x = 1,437,517,071,225
  5. Step 5: Solve for x
    x = 1,437,517,071,225/559,593
  6. Step 6: Final answer
    x = 2,568,861.78

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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.