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Finding the Third Proportional to 675,678 and 1,468,965

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Solution

The third proportional to 675,678 and 1,468,965 is: 3,193,619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,678 : 1,468,965 = 1,468,965 : x
  2. Step 2: Convert to fraction form
    675,678/1,468,965 = 1,468,965/x
  3. Step 3: Cross multiply
    675,678x = 1,468,965 × 1,468,965
  4. Step 4: Simplify right side
    675,678x = 2,157,858,171,225
  5. Step 5: Solve for x
    x = 2,157,858,171,225/675,678
  6. Step 6: Final answer
    x = 3,193,619.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.