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Finding the Third Proportional to 463,412 and 1,082,672

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Solution

The third proportional to 463,412 and 1,082,672 is: 2,529,452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,412 : 1,082,672 = 1,082,672 : x
  2. Step 2: Convert to fraction form
    463,412/1,082,672 = 1,082,672/x
  3. Step 3: Cross multiply
    463,412x = 1,082,672 × 1,082,672
  4. Step 4: Simplify right side
    463,412x = 1,172,178,659,584
  5. Step 5: Solve for x
    x = 1,172,178,659,584/463,412
  6. Step 6: Final answer
    x = 2,529,452.54

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.