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Finding the Third Proportional to 453,120 and 996,096

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Solution

The third proportional to 453,120 and 996,096 is: 2,189,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,120 : 996,096 = 996,096 : x
  2. Step 2: Convert to fraction form
    453,120/996,096 = 996,096/x
  3. Step 3: Cross multiply
    453,120x = 996,096 × 996,096
  4. Step 4: Simplify right side
    453,120x = 992,207,241,216
  5. Step 5: Solve for x
    x = 992,207,241,216/453,120
  6. Step 6: Final answer
    x = 2,189,722.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.