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Finding the Third Proportional to 787,849 and 1,222,241

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Solution

The third proportional to 787,849 and 1,222,241 is: 1,896,141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,849 : 1,222,241 = 1,222,241 : x
  2. Step 2: Convert to fraction form
    787,849/1,222,241 = 1,222,241/x
  3. Step 3: Cross multiply
    787,849x = 1,222,241 × 1,222,241
  4. Step 4: Simplify right side
    787,849x = 1,493,873,062,081
  5. Step 5: Solve for x
    x = 1,493,873,062,081/787,849
  6. Step 6: Final answer
    x = 1,896,141.34

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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.