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Finding the Third Proportional to 2,205,057 and 4,747,944

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Solution

The third proportional to 2,205,057 and 4,747,944 is: 10,223,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205,057 : 4,747,944 = 4,747,944 : x
  2. Step 2: Convert to fraction form
    2,205,057/4,747,944 = 4,747,944/x
  3. Step 3: Cross multiply
    2,205,057x = 4,747,944 × 4,747,944
  4. Step 4: Simplify right side
    2,205,057x = 22,542,972,227,136
  5. Step 5: Solve for x
    x = 22,542,972,227,136/2,205,057
  6. Step 6: Final answer
    x = 10,223,305.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.