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Finding the Third Proportional to 4,197,131 and 6,481,182

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Solution

The third proportional to 4,197,131 and 6,481,182 is: 10,008,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197,131 : 6,481,182 = 6,481,182 : x
  2. Step 2: Convert to fraction form
    4,197,131/6,481,182 = 6,481,182/x
  3. Step 3: Cross multiply
    4,197,131x = 6,481,182 × 6,481,182
  4. Step 4: Simplify right side
    4,197,131x = 42,005,720,117,124
  5. Step 5: Solve for x
    x = 42,005,720,117,124/4,197,131
  6. Step 6: Final answer
    x = 10,008,198.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.