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Finding the Third Proportional to 811,869 and 1,236,942

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Solution

The third proportional to 811,869 and 1,236,942 is: 1,884,571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,869 : 1,236,942 = 1,236,942 : x
  2. Step 2: Convert to fraction form
    811,869/1,236,942 = 1,236,942/x
  3. Step 3: Cross multiply
    811,869x = 1,236,942 × 1,236,942
  4. Step 4: Simplify right side
    811,869x = 1,530,025,511,364
  5. Step 5: Solve for x
    x = 1,530,025,511,364/811,869
  6. Step 6: Final answer
    x = 1,884,571.91

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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.