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Finding the Third Proportional to 393,862 and 843,772

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Solution

The third proportional to 393,862 and 843,772 is: 1,807,615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,862 : 843,772 = 843,772 : x
  2. Step 2: Convert to fraction form
    393,862/843,772 = 843,772/x
  3. Step 3: Cross multiply
    393,862x = 843,772 × 843,772
  4. Step 4: Simplify right side
    393,862x = 711,951,187,984
  5. Step 5: Solve for x
    x = 711,951,187,984/393,862
  6. Step 6: Final answer
    x = 1,807,615.83

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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.