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Finding the Third Proportional to 1,462,182 and 2,181,102

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Solution

The third proportional to 1,462,182 and 2,181,102 is: 3,253,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,182 : 2,181,102 = 2,181,102 : x
  2. Step 2: Convert to fraction form
    1,462,182/2,181,102 = 2,181,102/x
  3. Step 3: Cross multiply
    1,462,182x = 2,181,102 × 2,181,102
  4. Step 4: Simplify right side
    1,462,182x = 4,757,205,934,404
  5. Step 5: Solve for x
    x = 4,757,205,934,404/1,462,182
  6. Step 6: Final answer
    x = 3,253,497.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.