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Finding the Third Proportional to 463,377 and 1,082,580

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Solution

The third proportional to 463,377 and 1,082,580 is: 2,529,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,377 : 1,082,580 = 1,082,580 : x
  2. Step 2: Convert to fraction form
    463,377/1,082,580 = 1,082,580/x
  3. Step 3: Cross multiply
    463,377x = 1,082,580 × 1,082,580
  4. Step 4: Simplify right side
    463,377x = 1,171,979,456,400
  5. Step 5: Solve for x
    x = 1,171,979,456,400/463,377
  6. Step 6: Final answer
    x = 2,529,213.70

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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.