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Finding the Third Proportional to 393,606 and 862,866

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Solution

The third proportional to 393,606 and 862,866 is: 1,891,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,606 : 862,866 = 862,866 : x
  2. Step 2: Convert to fraction form
    393,606/862,866 = 862,866/x
  3. Step 3: Cross multiply
    393,606x = 862,866 × 862,866
  4. Step 4: Simplify right side
    393,606x = 744,537,733,956
  5. Step 5: Solve for x
    x = 744,537,733,956/393,606
  6. Step 6: Final answer
    x = 1,891,581.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.