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Finding the Third Proportional to 629,138 and 1,368,864

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Solution

The third proportional to 629,138 and 1,368,864 is: 2,978,342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,138 : 1,368,864 = 1,368,864 : x
  2. Step 2: Convert to fraction form
    629,138/1,368,864 = 1,368,864/x
  3. Step 3: Cross multiply
    629,138x = 1,368,864 × 1,368,864
  4. Step 4: Simplify right side
    629,138x = 1,873,788,650,496
  5. Step 5: Solve for x
    x = 1,873,788,650,496/629,138
  6. Step 6: Final answer
    x = 2,978,342.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.