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Finding the Third Proportional to 613,875 and 1,339,256

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Solution

The third proportional to 613,875 and 1,339,256 is: 2,921,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,875 : 1,339,256 = 1,339,256 : x
  2. Step 2: Convert to fraction form
    613,875/1,339,256 = 1,339,256/x
  3. Step 3: Cross multiply
    613,875x = 1,339,256 × 1,339,256
  4. Step 4: Simplify right side
    613,875x = 1,793,606,633,536
  5. Step 5: Solve for x
    x = 1,793,606,633,536/613,875
  6. Step 6: Final answer
    x = 2,921,778.27

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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.