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Finding the Third Proportional to 561,834 and 1,238,193

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Solution

The third proportional to 561,834 and 1,238,193 is: 2,728,780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,834 : 1,238,193 = 1,238,193 : x
  2. Step 2: Convert to fraction form
    561,834/1,238,193 = 1,238,193/x
  3. Step 3: Cross multiply
    561,834x = 1,238,193 × 1,238,193
  4. Step 4: Simplify right side
    561,834x = 1,533,121,905,249
  5. Step 5: Solve for x
    x = 1,533,121,905,249/561,834
  6. Step 6: Final answer
    x = 2,728,780.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.