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Finding the Third Proportional to 834,096 and 1,786,296

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Solution

The third proportional to 834,096 and 1,786,296 is: 3,825,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,096 : 1,786,296 = 1,786,296 : x
  2. Step 2: Convert to fraction form
    834,096/1,786,296 = 1,786,296/x
  3. Step 3: Cross multiply
    834,096x = 1,786,296 × 1,786,296
  4. Step 4: Simplify right side
    834,096x = 3,190,853,399,616
  5. Step 5: Solve for x
    x = 3,190,853,399,616/834,096
  6. Step 6: Final answer
    x = 3,825,522.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.