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Finding the Third Proportional to 811,863 and 1,236,933

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Solution

The third proportional to 811,863 and 1,236,933 is: 1,884,558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,863 : 1,236,933 = 1,236,933 : x
  2. Step 2: Convert to fraction form
    811,863/1,236,933 = 1,236,933/x
  3. Step 3: Cross multiply
    811,863x = 1,236,933 × 1,236,933
  4. Step 4: Simplify right side
    811,863x = 1,530,003,246,489
  5. Step 5: Solve for x
    x = 1,530,003,246,489/811,863
  6. Step 6: Final answer
    x = 1,884,558.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.