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Finding the Third Proportional to 997,940 and 2,405,965

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Solution

The third proportional to 997,940 and 2,405,965 is: 5,800,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,940 : 2,405,965 = 2,405,965 : x
  2. Step 2: Convert to fraction form
    997,940/2,405,965 = 2,405,965/x
  3. Step 3: Cross multiply
    997,940x = 2,405,965 × 2,405,965
  4. Step 4: Simplify right side
    997,940x = 5,788,667,581,225
  5. Step 5: Solve for x
    x = 5,788,667,581,225/997,940
  6. Step 6: Final answer
    x = 5,800,616.85

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.