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Finding the Third Proportional to 422,748 and 996,932

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Solution

The third proportional to 422,748 and 996,932 is: 2,350,983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,748 : 996,932 = 996,932 : x
  2. Step 2: Convert to fraction form
    422,748/996,932 = 996,932/x
  3. Step 3: Cross multiply
    422,748x = 996,932 × 996,932
  4. Step 4: Simplify right side
    422,748x = 993,873,412,624
  5. Step 5: Solve for x
    x = 993,873,412,624/422,748
  6. Step 6: Final answer
    x = 2,350,983.12

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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.