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Finding the Third Proportional to 823,544 and 1,251,300

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Solution

The third proportional to 823,544 and 1,251,300 is: 1,901,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,544 : 1,251,300 = 1,251,300 : x
  2. Step 2: Convert to fraction form
    823,544/1,251,300 = 1,251,300/x
  3. Step 3: Cross multiply
    823,544x = 1,251,300 × 1,251,300
  4. Step 4: Simplify right side
    823,544x = 1,565,751,690,000
  5. Step 5: Solve for x
    x = 1,565,751,690,000/823,544
  6. Step 6: Final answer
    x = 1,901,236.23

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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.