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Finding the Third Proportional to 1,873,190 and 4,420,427

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Solution

The third proportional to 1,873,190 and 4,420,427 is: 10,431,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873,190 : 4,420,427 = 4,420,427 : x
  2. Step 2: Convert to fraction form
    1,873,190/4,420,427 = 4,420,427/x
  3. Step 3: Cross multiply
    1,873,190x = 4,420,427 × 4,420,427
  4. Step 4: Simplify right side
    1,873,190x = 19,540,174,862,329
  5. Step 5: Solve for x
    x = 19,540,174,862,329/1,873,190
  6. Step 6: Final answer
    x = 10,431,496.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.