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Finding the Third Proportional to 1,764,984.38 and 3,853,647

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Solution

The third proportional to 1,764,984.38 and 3,853,647 is: 8,414,009.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764,984.38 : 3,853,647 = 3,853,647 : x
  2. Step 2: Convert to fraction form
    1,764,984.38/3,853,647 = 3,853,647/x
  3. Step 3: Cross multiply
    1,764,984.38x = 3,853,647 × 3,853,647
  4. Step 4: Simplify right side
    1,764,984.38x = 14,850,595,200,609
  5. Step 5: Solve for x
    x = 14,850,595,200,609/1,764,984.38
  6. Step 6: Final answer
    x = 8,414,009.44

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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.