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Finding the Third Proportional to 371,115 and 827,226

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Solution

The third proportional to 371,115 and 827,226 is: 1,843,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,115 : 827,226 = 827,226 : x
  2. Step 2: Convert to fraction form
    371,115/827,226 = 827,226/x
  3. Step 3: Cross multiply
    371,115x = 827,226 × 827,226
  4. Step 4: Simplify right side
    371,115x = 684,302,855,076
  5. Step 5: Solve for x
    x = 684,302,855,076/371,115
  6. Step 6: Final answer
    x = 1,843,910.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.