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Finding the Third Proportional to 776,864 and 1,694,948

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Solution

The third proportional to 776,864 and 1,694,948 is: 3,698,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,864 : 1,694,948 = 1,694,948 : x
  2. Step 2: Convert to fraction form
    776,864/1,694,948 = 1,694,948/x
  3. Step 3: Cross multiply
    776,864x = 1,694,948 × 1,694,948
  4. Step 4: Simplify right side
    776,864x = 2,872,848,722,704
  5. Step 5: Solve for x
    x = 2,872,848,722,704/776,864
  6. Step 6: Final answer
    x = 3,698,007.27

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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.