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Finding the Third Proportional to 3,491,728 and 7,534,304

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Solution

The third proportional to 3,491,728 and 7,534,304 is: 16,257,204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491,728 : 7,534,304 = 7,534,304 : x
  2. Step 2: Convert to fraction form
    3,491,728/7,534,304 = 7,534,304/x
  3. Step 3: Cross multiply
    3,491,728x = 7,534,304 × 7,534,304
  4. Step 4: Simplify right side
    3,491,728x = 56,765,736,764,416
  5. Step 5: Solve for x
    x = 56,765,736,764,416/3,491,728
  6. Step 6: Final answer
    x = 16,257,204.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.