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Finding the Third Proportional to 568,137 and 1,224,828

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Solution

The third proportional to 568,137 and 1,224,828 is: 2,640,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,137 : 1,224,828 = 1,224,828 : x
  2. Step 2: Convert to fraction form
    568,137/1,224,828 = 1,224,828/x
  3. Step 3: Cross multiply
    568,137x = 1,224,828 × 1,224,828
  4. Step 4: Simplify right side
    568,137x = 1,500,203,629,584
  5. Step 5: Solve for x
    x = 1,500,203,629,584/568,137
  6. Step 6: Final answer
    x = 2,640,566.68

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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.