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Finding the Third Proportional to 2,379,846 and 4,886,412

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Solution

The third proportional to 2,379,846 and 4,886,412 is: 10,033,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379,846 : 4,886,412 = 4,886,412 : x
  2. Step 2: Convert to fraction form
    2,379,846/4,886,412 = 4,886,412/x
  3. Step 3: Cross multiply
    2,379,846x = 4,886,412 × 4,886,412
  4. Step 4: Simplify right side
    2,379,846x = 23,877,022,233,744
  5. Step 5: Solve for x
    x = 23,877,022,233,744/2,379,846
  6. Step 6: Final answer
    x = 10,033,011.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.