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Finding the Third Proportional to 422,764 and 996,972

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Solution

The third proportional to 422,764 and 996,972 is: 2,351,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,764 : 996,972 = 996,972 : x
  2. Step 2: Convert to fraction form
    422,764/996,972 = 996,972/x
  3. Step 3: Cross multiply
    422,764x = 996,972 × 996,972
  4. Step 4: Simplify right side
    422,764x = 993,953,168,784
  5. Step 5: Solve for x
    x = 993,953,168,784/422,764
  6. Step 6: Final answer
    x = 2,351,082.80

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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.