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Finding the Third Proportional to 2,102,208 and 4,611,372

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Solution

The third proportional to 2,102,208 and 4,611,372 is: 10,115,436.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,208 : 4,611,372 = 4,611,372 : x
  2. Step 2: Convert to fraction form
    2,102,208/4,611,372 = 4,611,372/x
  3. Step 3: Cross multiply
    2,102,208x = 4,611,372 × 4,611,372
  4. Step 4: Simplify right side
    2,102,208x = 21,264,751,722,384
  5. Step 5: Solve for x
    x = 21,264,751,722,384/2,102,208
  6. Step 6: Final answer
    x = 10,115,436.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.