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Finding the Third Proportional to 2,173,018 and 4,723,874

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Solution

The third proportional to 2,173,018 and 4,723,874 is: 10,269,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173,018 : 4,723,874 = 4,723,874 : x
  2. Step 2: Convert to fraction form
    2,173,018/4,723,874 = 4,723,874/x
  3. Step 3: Cross multiply
    2,173,018x = 4,723,874 × 4,723,874
  4. Step 4: Simplify right side
    2,173,018x = 22,314,985,567,876
  5. Step 5: Solve for x
    x = 22,314,985,567,876/2,173,018
  6. Step 6: Final answer
    x = 10,269,121.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.