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Finding the Third Proportional to 488,914 and 1,082,806

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Solution

The third proportional to 488,914 and 1,082,806 is: 2,398,108.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,914 : 1,082,806 = 1,082,806 : x
  2. Step 2: Convert to fraction form
    488,914/1,082,806 = 1,082,806/x
  3. Step 3: Cross multiply
    488,914x = 1,082,806 × 1,082,806
  4. Step 4: Simplify right side
    488,914x = 1,172,468,833,636
  5. Step 5: Solve for x
    x = 1,172,468,833,636/488,914
  6. Step 6: Final answer
    x = 2,398,108.53

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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.