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Finding the Third Proportional to 965,928.94 and 2,097,786.38

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Solution

The third proportional to 965,928.94 and 2,097,786.38 is: 4,555,933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,928.94 : 2,097,786.38 = 2,097,786.38 : x
  2. Step 2: Convert to fraction form
    965,928.94/2,097,786.38 = 2,097,786.38/x
  3. Step 3: Cross multiply
    965,928.94x = 2,097,786.38 × 2,097,786.38
  4. Step 4: Simplify right side
    965,928.94x = 4,400,707,675,135.64
  5. Step 5: Solve for x
    x = 4,400,707,675,135.64/965,928.94
  6. Step 6: Final answer
    x = 4,555,933.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.