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Finding the Third Proportional to 2,102,170 and 3,205,745

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Solution

The third proportional to 2,102,170 and 3,205,745 is: 4,888,663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,170 : 3,205,745 = 3,205,745 : x
  2. Step 2: Convert to fraction form
    2,102,170/3,205,745 = 3,205,745/x
  3. Step 3: Cross multiply
    2,102,170x = 3,205,745 × 3,205,745
  4. Step 4: Simplify right side
    2,102,170x = 10,276,801,005,025
  5. Step 5: Solve for x
    x = 10,276,801,005,025/2,102,170
  6. Step 6: Final answer
    x = 4,888,663.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.