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Finding the Third Proportional to 744,198 and 1,188,105

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Solution

The third proportional to 744,198 and 1,188,105 is: 1,896,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,198 : 1,188,105 = 1,188,105 : x
  2. Step 2: Convert to fraction form
    744,198/1,188,105 = 1,188,105/x
  3. Step 3: Cross multiply
    744,198x = 1,188,105 × 1,188,105
  4. Step 4: Simplify right side
    744,198x = 1,411,593,491,025
  5. Step 5: Solve for x
    x = 1,411,593,491,025/744,198
  6. Step 6: Final answer
    x = 1,896,798.29

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.