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Finding the Third Proportional to 771,156 and 1,152,198

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Solution

The third proportional to 771,156 and 1,152,198 is: 1,721,519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,156 : 1,152,198 = 1,152,198 : x
  2. Step 2: Convert to fraction form
    771,156/1,152,198 = 1,152,198/x
  3. Step 3: Cross multiply
    771,156x = 1,152,198 × 1,152,198
  4. Step 4: Simplify right side
    771,156x = 1,327,560,231,204
  5. Step 5: Solve for x
    x = 1,327,560,231,204/771,156
  6. Step 6: Final answer
    x = 1,721,519.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.