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Finding the Third Proportional to 2,913,165 and 4,410,234

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Solution

The third proportional to 2,913,165 and 4,410,234 is: 6,676,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913,165 : 4,410,234 = 4,410,234 : x
  2. Step 2: Convert to fraction form
    2,913,165/4,410,234 = 4,410,234/x
  3. Step 3: Cross multiply
    2,913,165x = 4,410,234 × 4,410,234
  4. Step 4: Simplify right side
    2,913,165x = 19,450,163,934,756
  5. Step 5: Solve for x
    x = 19,450,163,934,756/2,913,165
  6. Step 6: Final answer
    x = 6,676,643.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.