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Finding the Third Proportional to 422,746 and 996,927

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Solution

The third proportional to 422,746 and 996,927 is: 2,350,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,746 : 996,927 = 996,927 : x
  2. Step 2: Convert to fraction form
    422,746/996,927 = 996,927/x
  3. Step 3: Cross multiply
    422,746x = 996,927 × 996,927
  4. Step 4: Simplify right side
    422,746x = 993,863,443,329
  5. Step 5: Solve for x
    x = 993,863,443,329/422,746
  6. Step 6: Final answer
    x = 2,350,970.66

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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.