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Finding the Third Proportional to 1,462,171.50 and 2,181,087

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Solution

The third proportional to 1,462,171.50 and 2,181,087 is: 3,253,476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,171.50 : 2,181,087 = 2,181,087 : x
  2. Step 2: Convert to fraction form
    1,462,171.50/2,181,087 = 2,181,087/x
  3. Step 3: Cross multiply
    1,462,171.50x = 2,181,087 × 2,181,087
  4. Step 4: Simplify right side
    1,462,171.50x = 4,757,140,501,569
  5. Step 5: Solve for x
    x = 4,757,140,501,569/1,462,171.50
  6. Step 6: Final answer
    x = 3,253,476.42

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Why These Related Problems?

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