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Finding the Third Proportional to 1,143,692 and 1,682,268

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Solution

The third proportional to 1,143,692 and 1,682,268 is: 2,474,464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,692 : 1,682,268 = 1,682,268 : x
  2. Step 2: Convert to fraction form
    1,143,692/1,682,268 = 1,682,268/x
  3. Step 3: Cross multiply
    1,143,692x = 1,682,268 × 1,682,268
  4. Step 4: Simplify right side
    1,143,692x = 2,830,025,623,824
  5. Step 5: Solve for x
    x = 2,830,025,623,824/1,143,692
  6. Step 6: Final answer
    x = 2,474,464.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.