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Finding the Third Proportional to 422,741 and 996,920

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Solution

The third proportional to 422,741 and 996,920 is: 2,350,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,741 : 996,920 = 996,920 : x
  2. Step 2: Convert to fraction form
    422,741/996,920 = 996,920/x
  3. Step 3: Cross multiply
    422,741x = 996,920 × 996,920
  4. Step 4: Simplify right side
    422,741x = 993,849,486,400
  5. Step 5: Solve for x
    x = 993,849,486,400/422,741
  6. Step 6: Final answer
    x = 2,350,965.45

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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.