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Finding the Third Proportional to 778,847 and 1,234,975

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Solution

The third proportional to 778,847 and 1,234,975 is: 1,958,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,847 : 1,234,975 = 1,234,975 : x
  2. Step 2: Convert to fraction form
    778,847/1,234,975 = 1,234,975/x
  3. Step 3: Cross multiply
    778,847x = 1,234,975 × 1,234,975
  4. Step 4: Simplify right side
    778,847x = 1,525,163,250,625
  5. Step 5: Solve for x
    x = 1,525,163,250,625/778,847
  6. Step 6: Final answer
    x = 1,958,232.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.