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Finding the Third Proportional to 2,047,864 and 4,550,256

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Solution

The third proportional to 2,047,864 and 4,550,256 is: 10,110,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,864 : 4,550,256 = 4,550,256 : x
  2. Step 2: Convert to fraction form
    2,047,864/4,550,256 = 4,550,256/x
  3. Step 3: Cross multiply
    2,047,864x = 4,550,256 × 4,550,256
  4. Step 4: Simplify right side
    2,047,864x = 20,704,829,665,536
  5. Step 5: Solve for x
    x = 20,704,829,665,536/2,047,864
  6. Step 6: Final answer
    x = 10,110,451.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.