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Finding the Third Proportional to 2,234,126 and 4,773,244

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Solution

The third proportional to 2,234,126 and 4,773,244 is: 10,198,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234,126 : 4,773,244 = 4,773,244 : x
  2. Step 2: Convert to fraction form
    2,234,126/4,773,244 = 4,773,244/x
  3. Step 3: Cross multiply
    2,234,126x = 4,773,244 × 4,773,244
  4. Step 4: Simplify right side
    2,234,126x = 22,783,858,283,536
  5. Step 5: Solve for x
    x = 22,783,858,283,536/2,234,126
  6. Step 6: Final answer
    x = 10,198,108.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.