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Finding the Third Proportional to 422,658 and 996,738.75

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Solution

The third proportional to 422,658 and 996,738.75 is: 2,350,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,658 : 996,738.75 = 996,738.75 : x
  2. Step 2: Convert to fraction form
    422,658/996,738.75 = 996,738.75/x
  3. Step 3: Cross multiply
    422,658x = 996,738.75 × 996,738.75
  4. Step 4: Simplify right side
    422,658x = 993,488,135,751.56
  5. Step 5: Solve for x
    x = 993,488,135,751.56/422,658
  6. Step 6: Final answer
    x = 2,350,572.18

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.