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Finding the Third Proportional to 568,116 and 1,222,064

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Solution

The third proportional to 568,116 and 1,222,064 is: 2,628,759.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,116 : 1,222,064 = 1,222,064 : x
  2. Step 2: Convert to fraction form
    568,116/1,222,064 = 1,222,064/x
  3. Step 3: Cross multiply
    568,116x = 1,222,064 × 1,222,064
  4. Step 4: Simplify right side
    568,116x = 1,493,440,420,096
  5. Step 5: Solve for x
    x = 1,493,440,420,096/568,116
  6. Step 6: Final answer
    x = 2,628,759.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.