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Finding the Third Proportional to 787,774 and 1,222,125

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Solution

The third proportional to 787,774 and 1,222,125 is: 1,895,961.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,774 : 1,222,125 = 1,222,125 : x
  2. Step 2: Convert to fraction form
    787,774/1,222,125 = 1,222,125/x
  3. Step 3: Cross multiply
    787,774x = 1,222,125 × 1,222,125
  4. Step 4: Simplify right side
    787,774x = 1,493,589,515,625
  5. Step 5: Solve for x
    x = 1,493,589,515,625/787,774
  6. Step 6: Final answer
    x = 1,895,961.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.