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Finding the Third Proportional to 422,724 and 996,875

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Solution

The third proportional to 422,724 and 996,875 is: 2,350,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,724 : 996,875 = 996,875 : x
  2. Step 2: Convert to fraction form
    422,724/996,875 = 996,875/x
  3. Step 3: Cross multiply
    422,724x = 996,875 × 996,875
  4. Step 4: Simplify right side
    422,724x = 993,759,765,625
  5. Step 5: Solve for x
    x = 993,759,765,625/422,724
  6. Step 6: Final answer
    x = 2,350,847.75

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Why These Related Problems?

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