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Finding the Third Proportional to 729,049 and 1,093,564

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Solution

The third proportional to 729,049 and 1,093,564 is: 1,640,331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,049 : 1,093,564 = 1,093,564 : x
  2. Step 2: Convert to fraction form
    729,049/1,093,564 = 1,093,564/x
  3. Step 3: Cross multiply
    729,049x = 1,093,564 × 1,093,564
  4. Step 4: Simplify right side
    729,049x = 1,195,882,222,096
  5. Step 5: Solve for x
    x = 1,195,882,222,096/729,049
  6. Step 6: Final answer
    x = 1,640,331.75

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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.