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Finding the Third Proportional to 488,926 and 1,082,828

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Solution

The third proportional to 488,926 and 1,082,828 is: 2,398,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,926 : 1,082,828 = 1,082,828 : x
  2. Step 2: Convert to fraction form
    488,926/1,082,828 = 1,082,828/x
  3. Step 3: Cross multiply
    488,926x = 1,082,828 × 1,082,828
  4. Step 4: Simplify right side
    488,926x = 1,172,516,477,584
  5. Step 5: Solve for x
    x = 1,172,516,477,584/488,926
  6. Step 6: Final answer
    x = 2,398,147.12

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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.