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Finding the Third Proportional to 500,786 and 1,061,163

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Solution

The third proportional to 500,786 and 1,061,163 is: 2,248,599.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,786 : 1,061,163 = 1,061,163 : x
  2. Step 2: Convert to fraction form
    500,786/1,061,163 = 1,061,163/x
  3. Step 3: Cross multiply
    500,786x = 1,061,163 × 1,061,163
  4. Step 4: Simplify right side
    500,786x = 1,126,066,912,569
  5. Step 5: Solve for x
    x = 1,126,066,912,569/500,786
  6. Step 6: Final answer
    x = 2,248,599.03

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.