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Finding the Third Proportional to 2,085,177 and 3,120,212.25

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Solution

The third proportional to 2,085,177 and 3,120,212.25 is: 4,669,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085,177 : 3,120,212.25 = 3,120,212.25 : x
  2. Step 2: Convert to fraction form
    2,085,177/3,120,212.25 = 3,120,212.25/x
  3. Step 3: Cross multiply
    2,085,177x = 3,120,212.25 × 3,120,212.25
  4. Step 4: Simplify right side
    2,085,177x = 9,735,724,485,050.06
  5. Step 5: Solve for x
    x = 9,735,724,485,050.06/2,085,177
  6. Step 6: Final answer
    x = 4,669,015.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.