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Finding the Third Proportional to 521,511 and 1,082,992

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Solution

The third proportional to 521,511 and 1,082,992 is: 2,248,987.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,511 : 1,082,992 = 1,082,992 : x
  2. Step 2: Convert to fraction form
    521,511/1,082,992 = 1,082,992/x
  3. Step 3: Cross multiply
    521,511x = 1,082,992 × 1,082,992
  4. Step 4: Simplify right side
    521,511x = 1,172,871,672,064
  5. Step 5: Solve for x
    x = 1,172,871,672,064/521,511
  6. Step 6: Final answer
    x = 2,248,987.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.