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Finding the Third Proportional to 2,721,971 and 5,942,002

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Solution

The third proportional to 2,721,971 and 5,942,002 is: 12,971,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721,971 : 5,942,002 = 5,942,002 : x
  2. Step 2: Convert to fraction form
    2,721,971/5,942,002 = 5,942,002/x
  3. Step 3: Cross multiply
    2,721,971x = 5,942,002 × 5,942,002
  4. Step 4: Simplify right side
    2,721,971x = 35,307,387,768,004
  5. Step 5: Solve for x
    x = 35,307,387,768,004/2,721,971
  6. Step 6: Final answer
    x = 12,971,257.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.