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Finding the Third Proportional to 498,225 and 1,089,966

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Solution

The third proportional to 498,225 and 1,089,966 is: 2,384,516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,225 : 1,089,966 = 1,089,966 : x
  2. Step 2: Convert to fraction form
    498,225/1,089,966 = 1,089,966/x
  3. Step 3: Cross multiply
    498,225x = 1,089,966 × 1,089,966
  4. Step 4: Simplify right side
    498,225x = 1,188,025,881,156
  5. Step 5: Solve for x
    x = 1,188,025,881,156/498,225
  6. Step 6: Final answer
    x = 2,384,516.80

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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.