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Finding the Third Proportional to 517,171.50 and 1,096,544.25

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Solution

The third proportional to 517,171.50 and 1,096,544.25 is: 2,324,972.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,171.50 : 1,096,544.25 = 1,096,544.25 : x
  2. Step 2: Convert to fraction form
    517,171.50/1,096,544.25 = 1,096,544.25/x
  3. Step 3: Cross multiply
    517,171.50x = 1,096,544.25 × 1,096,544.25
  4. Step 4: Simplify right side
    517,171.50x = 1,202,409,292,208.06
  5. Step 5: Solve for x
    x = 1,202,409,292,208.06/517,171.50
  6. Step 6: Final answer
    x = 2,324,972.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.