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Finding the Third Proportional to 1,796,869 and 3,896,914

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Solution

The third proportional to 1,796,869 and 3,896,914 is: 8,451,333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796,869 : 3,896,914 = 3,896,914 : x
  2. Step 2: Convert to fraction form
    1,796,869/3,896,914 = 3,896,914/x
  3. Step 3: Cross multiply
    1,796,869x = 3,896,914 × 3,896,914
  4. Step 4: Simplify right side
    1,796,869x = 15,185,938,723,396
  5. Step 5: Solve for x
    x = 15,185,938,723,396/1,796,869
  6. Step 6: Final answer
    x = 8,451,333.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.