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Finding the Third Proportional to 776,869 and 1,694,958

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Solution

The third proportional to 776,869 and 1,694,958 is: 3,698,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,869 : 1,694,958 = 1,694,958 : x
  2. Step 2: Convert to fraction form
    776,869/1,694,958 = 1,694,958/x
  3. Step 3: Cross multiply
    776,869x = 1,694,958 × 1,694,958
  4. Step 4: Simplify right side
    776,869x = 2,872,882,621,764
  5. Step 5: Solve for x
    x = 2,872,882,621,764/776,869
  6. Step 6: Final answer
    x = 3,698,027.11

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Why These Related Problems?

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