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Finding the Third Proportional to 823,131 and 1,236,888

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Solution

The third proportional to 823,131 and 1,236,888 is: 1,858,625.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,131 : 1,236,888 = 1,236,888 : x
  2. Step 2: Convert to fraction form
    823,131/1,236,888 = 1,236,888/x
  3. Step 3: Cross multiply
    823,131x = 1,236,888 × 1,236,888
  4. Step 4: Simplify right side
    823,131x = 1,529,891,924,544
  5. Step 5: Solve for x
    x = 1,529,891,924,544/823,131
  6. Step 6: Final answer
    x = 1,858,625.08

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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.