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Finding the Third Proportional to 1,584,906.75 and 3,428,244

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Solution

The third proportional to 1,584,906.75 and 3,428,244 is: 7,415,487.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,906.75 : 3,428,244 = 3,428,244 : x
  2. Step 2: Convert to fraction form
    1,584,906.75/3,428,244 = 3,428,244/x
  3. Step 3: Cross multiply
    1,584,906.75x = 3,428,244 × 3,428,244
  4. Step 4: Simplify right side
    1,584,906.75x = 11,752,856,923,536
  5. Step 5: Solve for x
    x = 11,752,856,923,536/1,584,906.75
  6. Step 6: Final answer
    x = 7,415,487.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.