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Finding the Third Proportional to 694,168 and 1,048,647

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Solution

The third proportional to 694,168 and 1,048,647 is: 1,584,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,168 : 1,048,647 = 1,048,647 : x
  2. Step 2: Convert to fraction form
    694,168/1,048,647 = 1,048,647/x
  3. Step 3: Cross multiply
    694,168x = 1,048,647 × 1,048,647
  4. Step 4: Simplify right side
    694,168x = 1,099,660,530,609
  5. Step 5: Solve for x
    x = 1,099,660,530,609/694,168
  6. Step 6: Final answer
    x = 1,584,141.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.