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Finding the Third Proportional to 2,203,538 and 4,671,622

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Solution

The third proportional to 2,203,538 and 4,671,622 is: 9,904,096.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203,538 : 4,671,622 = 4,671,622 : x
  2. Step 2: Convert to fraction form
    2,203,538/4,671,622 = 4,671,622/x
  3. Step 3: Cross multiply
    2,203,538x = 4,671,622 × 4,671,622
  4. Step 4: Simplify right side
    2,203,538x = 21,824,052,110,884
  5. Step 5: Solve for x
    x = 21,824,052,110,884/2,203,538
  6. Step 6: Final answer
    x = 9,904,096.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.