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Finding the Third Proportional to 1,288,096 and 2,831,168

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Solution

The third proportional to 1,288,096 and 2,831,168 is: 6,222,759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,096 : 2,831,168 = 2,831,168 : x
  2. Step 2: Convert to fraction form
    1,288,096/2,831,168 = 2,831,168/x
  3. Step 3: Cross multiply
    1,288,096x = 2,831,168 × 2,831,168
  4. Step 4: Simplify right side
    1,288,096x = 8,015,512,244,224
  5. Step 5: Solve for x
    x = 8,015,512,244,224/1,288,096
  6. Step 6: Final answer
    x = 6,222,759.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.