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Finding the Third Proportional to 393,847 and 843,736

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Solution

The third proportional to 393,847 and 843,736 is: 1,807,530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,847 : 843,736 = 843,736 : x
  2. Step 2: Convert to fraction form
    393,847/843,736 = 843,736/x
  3. Step 3: Cross multiply
    393,847x = 843,736 × 843,736
  4. Step 4: Simplify right side
    393,847x = 711,890,437,696
  5. Step 5: Solve for x
    x = 711,890,437,696/393,847
  6. Step 6: Final answer
    x = 1,807,530.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.