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Finding the Third Proportional to 1,659,221 and 3,485,302

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Solution

The third proportional to 1,659,221 and 3,485,302 is: 7,321,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659,221 : 3,485,302 = 3,485,302 : x
  2. Step 2: Convert to fraction form
    1,659,221/3,485,302 = 3,485,302/x
  3. Step 3: Cross multiply
    1,659,221x = 3,485,302 × 3,485,302
  4. Step 4: Simplify right side
    1,659,221x = 12,147,330,031,204
  5. Step 5: Solve for x
    x = 12,147,330,031,204/1,659,221
  6. Step 6: Final answer
    x = 7,321,104.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.