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Finding the Third Proportional to 465,969.50 and 1,019,162

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Solution

The third proportional to 465,969.50 and 1,019,162 is: 2,229,096.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,969.50 : 1,019,162 = 1,019,162 : x
  2. Step 2: Convert to fraction form
    465,969.50/1,019,162 = 1,019,162/x
  3. Step 3: Cross multiply
    465,969.50x = 1,019,162 × 1,019,162
  4. Step 4: Simplify right side
    465,969.50x = 1,038,691,182,244
  5. Step 5: Solve for x
    x = 1,038,691,182,244/465,969.50
  6. Step 6: Final answer
    x = 2,229,096.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.