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Finding the Third Proportional to 3,476,984 and 7,052,227

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Solution

The third proportional to 3,476,984 and 7,052,227 is: 14,303,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476,984 : 7,052,227 = 7,052,227 : x
  2. Step 2: Convert to fraction form
    3,476,984/7,052,227 = 7,052,227/x
  3. Step 3: Cross multiply
    3,476,984x = 7,052,227 × 7,052,227
  4. Step 4: Simplify right side
    3,476,984x = 49,733,905,659,529
  5. Step 5: Solve for x
    x = 49,733,905,659,529/3,476,984
  6. Step 6: Final answer
    x = 14,303,748.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.