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Finding the Third Proportional to 1,597,443 and 3,474,759

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Solution

The third proportional to 1,597,443 and 3,474,759 is: 7,558,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,443 : 3,474,759 = 3,474,759 : x
  2. Step 2: Convert to fraction form
    1,597,443/3,474,759 = 3,474,759/x
  3. Step 3: Cross multiply
    1,597,443x = 3,474,759 × 3,474,759
  4. Step 4: Simplify right side
    1,597,443x = 12,073,950,108,081
  5. Step 5: Solve for x
    x = 12,073,950,108,081/1,597,443
  6. Step 6: Final answer
    x = 7,558,297.92

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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.