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Finding the Third Proportional to 1,143,694 and 1,682,271

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Solution

The third proportional to 1,143,694 and 1,682,271 is: 2,474,469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,694 : 1,682,271 = 1,682,271 : x
  2. Step 2: Convert to fraction form
    1,143,694/1,682,271 = 1,682,271/x
  3. Step 3: Cross multiply
    1,143,694x = 1,682,271 × 1,682,271
  4. Step 4: Simplify right side
    1,143,694x = 2,830,035,717,441
  5. Step 5: Solve for x
    x = 2,830,035,717,441/1,143,694
  6. Step 6: Final answer
    x = 2,474,469.32

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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.