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Finding the Third Proportional to 2,234,997 and 4,975,857

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Solution

The third proportional to 2,234,997 and 4,975,857 is: 11,077,935.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234,997 : 4,975,857 = 4,975,857 : x
  2. Step 2: Convert to fraction form
    2,234,997/4,975,857 = 4,975,857/x
  3. Step 3: Cross multiply
    2,234,997x = 4,975,857 × 4,975,857
  4. Step 4: Simplify right side
    2,234,997x = 24,759,152,884,449
  5. Step 5: Solve for x
    x = 24,759,152,884,449/2,234,997
  6. Step 6: Final answer
    x = 11,077,935.62

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.