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Finding the Third Proportional to 2,288,622 and 4,975,761

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Solution

The third proportional to 2,288,622 and 4,975,761 is: 10,817,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288,622 : 4,975,761 = 4,975,761 : x
  2. Step 2: Convert to fraction form
    2,288,622/4,975,761 = 4,975,761/x
  3. Step 3: Cross multiply
    2,288,622x = 4,975,761 × 4,975,761
  4. Step 4: Simplify right side
    2,288,622x = 24,758,197,529,121
  5. Step 5: Solve for x
    x = 24,758,197,529,121/2,288,622
  6. Step 6: Final answer
    x = 10,817,949.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.