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Finding the Third Proportional to 827,793 and 1,818,153

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Solution

The third proportional to 827,793 and 1,818,153 is: 3,993,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,793 : 1,818,153 = 1,818,153 : x
  2. Step 2: Convert to fraction form
    827,793/1,818,153 = 1,818,153/x
  3. Step 3: Cross multiply
    827,793x = 1,818,153 × 1,818,153
  4. Step 4: Simplify right side
    827,793x = 3,305,680,331,409
  5. Step 5: Solve for x
    x = 3,305,680,331,409/827,793
  6. Step 6: Final answer
    x = 3,993,365.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.