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Finding the Third Proportional to 600,278 and 1,416,980

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Solution

The third proportional to 600,278 and 1,416,980 is: 3,344,837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,278 : 1,416,980 = 1,416,980 : x
  2. Step 2: Convert to fraction form
    600,278/1,416,980 = 1,416,980/x
  3. Step 3: Cross multiply
    600,278x = 1,416,980 × 1,416,980
  4. Step 4: Simplify right side
    600,278x = 2,007,832,320,400
  5. Step 5: Solve for x
    x = 2,007,832,320,400/600,278
  6. Step 6: Final answer
    x = 3,344,837.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.