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Finding the Third Proportional to 1,212,725.25 and 2,640,600

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Solution

The third proportional to 1,212,725.25 and 2,640,600 is: 5,749,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,725.25 : 2,640,600 = 2,640,600 : x
  2. Step 2: Convert to fraction form
    1,212,725.25/2,640,600 = 2,640,600/x
  3. Step 3: Cross multiply
    1,212,725.25x = 2,640,600 × 2,640,600
  4. Step 4: Simplify right side
    1,212,725.25x = 6,972,768,360,000
  5. Step 5: Solve for x
    x = 6,972,768,360,000/1,212,725.25
  6. Step 6: Final answer
    x = 5,749,668.66

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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.