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Finding the Third Proportional to 827,096 and 1,264,977

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Solution

The third proportional to 827,096 and 1,264,977 is: 1,934,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,096 : 1,264,977 = 1,264,977 : x
  2. Step 2: Convert to fraction form
    827,096/1,264,977 = 1,264,977/x
  3. Step 3: Cross multiply
    827,096x = 1,264,977 × 1,264,977
  4. Step 4: Simplify right side
    827,096x = 1,600,166,810,529
  5. Step 5: Solve for x
    x = 1,600,166,810,529/827,096
  6. Step 6: Final answer
    x = 1,934,680.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.