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Finding the Third Proportional to 2,181,474 and 4,673,988

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Solution

The third proportional to 2,181,474 and 4,673,988 is: 10,014,404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181,474 : 4,673,988 = 4,673,988 : x
  2. Step 2: Convert to fraction form
    2,181,474/4,673,988 = 4,673,988/x
  3. Step 3: Cross multiply
    2,181,474x = 4,673,988 × 4,673,988
  4. Step 4: Simplify right side
    2,181,474x = 21,846,163,824,144
  5. Step 5: Solve for x
    x = 21,846,163,824,144/2,181,474
  6. Step 6: Final answer
    x = 10,014,404.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.