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Finding the Third Proportional to 601,795.69 and 1,311,544.13

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Solution

The third proportional to 601,795.69 and 1,311,544.13 is: 2,858,358.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,795.69 : 1,311,544.13 = 1,311,544.13 : x
  2. Step 2: Convert to fraction form
    601,795.69/1,311,544.13 = 1,311,544.13/x
  3. Step 3: Cross multiply
    601,795.69x = 1,311,544.13 × 1,311,544.13
  4. Step 4: Simplify right side
    601,795.69x = 1,720,147,991,822.02
  5. Step 5: Solve for x
    x = 1,720,147,991,822.02/601,795.69
  6. Step 6: Final answer
    x = 2,858,358.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.