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Finding the Third Proportional to 811,882 and 1,236,973

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Solution

The third proportional to 811,882 and 1,236,973 is: 1,884,636.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,882 : 1,236,973 = 1,236,973 : x
  2. Step 2: Convert to fraction form
    811,882/1,236,973 = 1,236,973/x
  3. Step 3: Cross multiply
    811,882x = 1,236,973 × 1,236,973
  4. Step 4: Simplify right side
    811,882x = 1,530,102,202,729
  5. Step 5: Solve for x
    x = 1,530,102,202,729/811,882
  6. Step 6: Final answer
    x = 1,884,636.19

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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.