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Finding the Third Proportional to 2,025,776 and 4,322,744

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Solution

The third proportional to 2,025,776 and 4,322,744 is: 9,224,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025,776 : 4,322,744 = 4,322,744 : x
  2. Step 2: Convert to fraction form
    2,025,776/4,322,744 = 4,322,744/x
  3. Step 3: Cross multiply
    2,025,776x = 4,322,744 × 4,322,744
  4. Step 4: Simplify right side
    2,025,776x = 18,686,115,689,536
  5. Step 5: Solve for x
    x = 18,686,115,689,536/2,025,776
  6. Step 6: Final answer
    x = 9,224,176.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.