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Finding the Third Proportional to 2,222,208 and 4,781,646

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Solution

The third proportional to 2,222,208 and 4,781,646 is: 10,288,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222,208 : 4,781,646 = 4,781,646 : x
  2. Step 2: Convert to fraction form
    2,222,208/4,781,646 = 4,781,646/x
  3. Step 3: Cross multiply
    2,222,208x = 4,781,646 × 4,781,646
  4. Step 4: Simplify right side
    2,222,208x = 22,864,138,469,316
  5. Step 5: Solve for x
    x = 22,864,138,469,316/2,222,208
  6. Step 6: Final answer
    x = 10,288,928.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.