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Finding the Third Proportional to 2,839,232 and 6,192,292

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Solution

The third proportional to 2,839,232 and 6,192,292 is: 13,505,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839,232 : 6,192,292 = 6,192,292 : x
  2. Step 2: Convert to fraction form
    2,839,232/6,192,292 = 6,192,292/x
  3. Step 3: Cross multiply
    2,839,232x = 6,192,292 × 6,192,292
  4. Step 4: Simplify right side
    2,839,232x = 38,344,480,213,264
  5. Step 5: Solve for x
    x = 38,344,480,213,264/2,839,232
  6. Step 6: Final answer
    x = 13,505,229.66

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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.