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Finding the Third Proportional to 823,102 and 1,236,843

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Solution

The third proportional to 823,102 and 1,236,843 is: 1,858,555.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,102 : 1,236,843 = 1,236,843 : x
  2. Step 2: Convert to fraction form
    823,102/1,236,843 = 1,236,843/x
  3. Step 3: Cross multiply
    823,102x = 1,236,843 × 1,236,843
  4. Step 4: Simplify right side
    823,102x = 1,529,780,606,649
  5. Step 5: Solve for x
    x = 1,529,780,606,649/823,102
  6. Step 6: Final answer
    x = 1,858,555.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.