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Finding the Third Proportional to 888,971 and 1,412,193

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Solution

The third proportional to 888,971 and 1,412,193 is: 2,243,367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    888,971 : 1,412,193 = 1,412,193 : x
  2. Step 2: Convert to fraction form
    888,971/1,412,193 = 1,412,193/x
  3. Step 3: Cross multiply
    888,971x = 1,412,193 × 1,412,193
  4. Step 4: Simplify right side
    888,971x = 1,994,289,069,249
  5. Step 5: Solve for x
    x = 1,994,289,069,249/888,971
  6. Step 6: Final answer
    x = 2,243,367.97

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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.