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Finding the Third Proportional to 493,767 and 1,061,193

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Solution

The third proportional to 493,767 and 1,061,193 is: 2,280,692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,767 : 1,061,193 = 1,061,193 : x
  2. Step 2: Convert to fraction form
    493,767/1,061,193 = 1,061,193/x
  3. Step 3: Cross multiply
    493,767x = 1,061,193 × 1,061,193
  4. Step 4: Simplify right side
    493,767x = 1,126,130,583,249
  5. Step 5: Solve for x
    x = 1,126,130,583,249/493,767
  6. Step 6: Final answer
    x = 2,280,692.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.