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Finding the Third Proportional to 844,226 and 1,264,872

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Solution

The third proportional to 844,226 and 1,264,872 is: 1,895,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,226 : 1,264,872 = 1,264,872 : x
  2. Step 2: Convert to fraction form
    844,226/1,264,872 = 1,264,872/x
  3. Step 3: Cross multiply
    844,226x = 1,264,872 × 1,264,872
  4. Step 4: Simplify right side
    844,226x = 1,599,901,176,384
  5. Step 5: Solve for x
    x = 1,599,901,176,384/844,226
  6. Step 6: Final answer
    x = 1,895,110.05

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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.