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Finding the Third Proportional to 1,768,096 and 3,784,384

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Solution

The third proportional to 1,768,096 and 3,784,384 is: 8,099,991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768,096 : 3,784,384 = 3,784,384 : x
  2. Step 2: Convert to fraction form
    1,768,096/3,784,384 = 3,784,384/x
  3. Step 3: Cross multiply
    1,768,096x = 3,784,384 × 3,784,384
  4. Step 4: Simplify right side
    1,768,096x = 14,321,562,259,456
  5. Step 5: Solve for x
    x = 14,321,562,259,456/1,768,096
  6. Step 6: Final answer
    x = 8,099,991.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.