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Finding the Third Proportional to 2,467,922 and 3,728,129

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Solution

The third proportional to 2,467,922 and 3,728,129 is: 5,631,841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467,922 : 3,728,129 = 3,728,129 : x
  2. Step 2: Convert to fraction form
    2,467,922/3,728,129 = 3,728,129/x
  3. Step 3: Cross multiply
    2,467,922x = 3,728,129 × 3,728,129
  4. Step 4: Simplify right side
    2,467,922x = 13,898,945,840,641
  5. Step 5: Solve for x
    x = 13,898,945,840,641/2,467,922
  6. Step 6: Final answer
    x = 5,631,841.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.