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Finding the Third Proportional to 2,224,524 and 4,856,796

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Solution

The third proportional to 2,224,524 and 4,856,796 is: 10,603,826.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224,524 : 4,856,796 = 4,856,796 : x
  2. Step 2: Convert to fraction form
    2,224,524/4,856,796 = 4,856,796/x
  3. Step 3: Cross multiply
    2,224,524x = 4,856,796 × 4,856,796
  4. Step 4: Simplify right side
    2,224,524x = 23,588,467,385,616
  5. Step 5: Solve for x
    x = 23,588,467,385,616/2,224,524
  6. Step 6: Final answer
    x = 10,603,826.88

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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.