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Finding the Third Proportional to 741,712.69 and 1,522,745.81

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Solution

The third proportional to 741,712.69 and 1,522,745.81 is: 3,126,217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,712.69 : 1,522,745.81 = 1,522,745.81 : x
  2. Step 2: Convert to fraction form
    741,712.69/1,522,745.81 = 1,522,745.81/x
  3. Step 3: Cross multiply
    741,712.69x = 1,522,745.81 × 1,522,745.81
  4. Step 4: Simplify right side
    741,712.69x = 2,318,754,809,486.29
  5. Step 5: Solve for x
    x = 2,318,754,809,486.29/741,712.69
  6. Step 6: Final answer
    x = 3,126,217.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.