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Finding the Third Proportional to 3,211,569 and 4,919,073

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Solution

The third proportional to 3,211,569 and 4,919,073 is: 7,534,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,569 : 4,919,073 = 4,919,073 : x
  2. Step 2: Convert to fraction form
    3,211,569/4,919,073 = 4,919,073/x
  3. Step 3: Cross multiply
    3,211,569x = 4,919,073 × 4,919,073
  4. Step 4: Simplify right side
    3,211,569x = 24,197,279,179,329
  5. Step 5: Solve for x
    x = 24,197,279,179,329/3,211,569
  6. Step 6: Final answer
    x = 7,534,410.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.