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Finding the Third Proportional to 2,234,999 and 4,975,861

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Solution

The third proportional to 2,234,999 and 4,975,861 is: 11,077,943.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234,999 : 4,975,861 = 4,975,861 : x
  2. Step 2: Convert to fraction form
    2,234,999/4,975,861 = 4,975,861/x
  3. Step 3: Cross multiply
    2,234,999x = 4,975,861 × 4,975,861
  4. Step 4: Simplify right side
    2,234,999x = 24,759,192,691,321
  5. Step 5: Solve for x
    x = 24,759,192,691,321/2,234,999
  6. Step 6: Final answer
    x = 11,077,943.52

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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.