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Finding the Third Proportional to 393,854 and 843,751

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Solution

The third proportional to 393,854 and 843,751 is: 1,807,562.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,854 : 843,751 = 843,751 : x
  2. Step 2: Convert to fraction form
    393,854/843,751 = 843,751/x
  3. Step 3: Cross multiply
    393,854x = 843,751 × 843,751
  4. Step 4: Simplify right side
    393,854x = 711,915,750,001
  5. Step 5: Solve for x
    x = 711,915,750,001/393,854
  6. Step 6: Final answer
    x = 1,807,562.57

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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.