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Finding the Third Proportional to 422,707 and 996,833

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Solution

The third proportional to 422,707 and 996,833 is: 2,350,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,707 : 996,833 = 996,833 : x
  2. Step 2: Convert to fraction form
    422,707/996,833 = 996,833/x
  3. Step 3: Cross multiply
    422,707x = 996,833 × 996,833
  4. Step 4: Simplify right side
    422,707x = 993,676,029,889
  5. Step 5: Solve for x
    x = 993,676,029,889/422,707
  6. Step 6: Final answer
    x = 2,350,744.20

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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.