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Finding the Third Proportional to 613,947 and 1,252,860

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Solution

The third proportional to 613,947 and 1,252,860 is: 2,556,667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,947 : 1,252,860 = 1,252,860 : x
  2. Step 2: Convert to fraction form
    613,947/1,252,860 = 1,252,860/x
  3. Step 3: Cross multiply
    613,947x = 1,252,860 × 1,252,860
  4. Step 4: Simplify right side
    613,947x = 1,569,658,179,600
  5. Step 5: Solve for x
    x = 1,569,658,179,600/613,947
  6. Step 6: Final answer
    x = 2,556,667.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.