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Finding the Third Proportional to 729,504 and 1,091,340

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Solution

The third proportional to 729,504 and 1,091,340 is: 1,632,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,504 : 1,091,340 = 1,091,340 : x
  2. Step 2: Convert to fraction form
    729,504/1,091,340 = 1,091,340/x
  3. Step 3: Cross multiply
    729,504x = 1,091,340 × 1,091,340
  4. Step 4: Simplify right side
    729,504x = 1,191,022,995,600
  5. Step 5: Solve for x
    x = 1,191,022,995,600/729,504
  6. Step 6: Final answer
    x = 1,632,647.66

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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.