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Finding the Third Proportional to 494,168 and 1,082,892

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Solution

The third proportional to 494,168 and 1,082,892 is: 2,372,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,168 : 1,082,892 = 1,082,892 : x
  2. Step 2: Convert to fraction form
    494,168/1,082,892 = 1,082,892/x
  3. Step 3: Cross multiply
    494,168x = 1,082,892 × 1,082,892
  4. Step 4: Simplify right side
    494,168x = 1,172,655,083,664
  5. Step 5: Solve for x
    x = 1,172,655,083,664/494,168
  6. Step 6: Final answer
    x = 2,372,988.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.