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Finding the Third Proportional to 1,802,028 and 3,203,412

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Solution

The third proportional to 1,802,028 and 3,203,412 is: 5,694,610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802,028 : 3,203,412 = 3,203,412 : x
  2. Step 2: Convert to fraction form
    1,802,028/3,203,412 = 3,203,412/x
  3. Step 3: Cross multiply
    1,802,028x = 3,203,412 × 3,203,412
  4. Step 4: Simplify right side
    1,802,028x = 10,261,848,441,744
  5. Step 5: Solve for x
    x = 10,261,848,441,744/1,802,028
  6. Step 6: Final answer
    x = 5,694,610.98

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.