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Finding the Third Proportional to 422,768 and 996,982

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Solution

The third proportional to 422,768 and 996,982 is: 2,351,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,768 : 996,982 = 996,982 : x
  2. Step 2: Convert to fraction form
    422,768/996,982 = 996,982/x
  3. Step 3: Cross multiply
    422,768x = 996,982 × 996,982
  4. Step 4: Simplify right side
    422,768x = 993,973,108,324
  5. Step 5: Solve for x
    x = 993,973,108,324/422,768
  6. Step 6: Final answer
    x = 2,351,107.72

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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.