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Finding the Third Proportional to 2,054,376 and 4,949,172

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Solution

The third proportional to 2,054,376 and 4,949,172 is: 11,922,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054,376 : 4,949,172 = 4,949,172 : x
  2. Step 2: Convert to fraction form
    2,054,376/4,949,172 = 4,949,172/x
  3. Step 3: Cross multiply
    2,054,376x = 4,949,172 × 4,949,172
  4. Step 4: Simplify right side
    2,054,376x = 24,494,303,485,584
  5. Step 5: Solve for x
    x = 24,494,303,485,584/2,054,376
  6. Step 6: Final answer
    x = 11,922,989.50

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.