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Finding the Third Proportional to 729,498 and 1,091,327

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Solution

The third proportional to 729,498 and 1,091,327 is: 1,632,622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,498 : 1,091,327 = 1,091,327 : x
  2. Step 2: Convert to fraction form
    729,498/1,091,327 = 1,091,327/x
  3. Step 3: Cross multiply
    729,498x = 1,091,327 × 1,091,327
  4. Step 4: Simplify right side
    729,498x = 1,190,994,620,929
  5. Step 5: Solve for x
    x = 1,190,994,620,929/729,498
  6. Step 6: Final answer
    x = 1,632,622.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.