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Finding the Third Proportional to 2,159,751 and 4,665,864

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Solution

The third proportional to 2,159,751 and 4,665,864 is: 10,079,998.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159,751 : 4,665,864 = 4,665,864 : x
  2. Step 2: Convert to fraction form
    2,159,751/4,665,864 = 4,665,864/x
  3. Step 3: Cross multiply
    2,159,751x = 4,665,864 × 4,665,864
  4. Step 4: Simplify right side
    2,159,751x = 21,770,286,866,496
  5. Step 5: Solve for x
    x = 21,770,286,866,496/2,159,751
  6. Step 6: Final answer
    x = 10,079,998.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.