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Finding the Third Proportional to 4,498,357 and 6,410,981

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Solution

The third proportional to 4,498,357 and 6,410,981 is: 9,136,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498,357 : 6,410,981 = 6,410,981 : x
  2. Step 2: Convert to fraction form
    4,498,357/6,410,981 = 6,410,981/x
  3. Step 3: Cross multiply
    4,498,357x = 6,410,981 × 6,410,981
  4. Step 4: Simplify right side
    4,498,357x = 41,100,677,382,361
  5. Step 5: Solve for x
    x = 41,100,677,382,361/4,498,357
  6. Step 6: Final answer
    x = 9,136,819.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.