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Finding the Third Proportional to 488,940 and 1,082,856

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Solution

The third proportional to 488,940 and 1,082,856 is: 2,398,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,940 : 1,082,856 = 1,082,856 : x
  2. Step 2: Convert to fraction form
    488,940/1,082,856 = 1,082,856/x
  3. Step 3: Cross multiply
    488,940x = 1,082,856 × 1,082,856
  4. Step 4: Simplify right side
    488,940x = 1,172,577,116,736
  5. Step 5: Solve for x
    x = 1,172,577,116,736/488,940
  6. Step 6: Final answer
    x = 2,398,202.47

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.