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Finding the Third Proportional to 1,789,493 and 3,919,186

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Solution

The third proportional to 1,789,493 and 3,919,186 is: 8,583,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789,493 : 3,919,186 = 3,919,186 : x
  2. Step 2: Convert to fraction form
    1,789,493/3,919,186 = 3,919,186/x
  3. Step 3: Cross multiply
    1,789,493x = 3,919,186 × 3,919,186
  4. Step 4: Simplify right side
    1,789,493x = 15,360,018,902,596
  5. Step 5: Solve for x
    x = 15,360,018,902,596/1,789,493
  6. Step 6: Final answer
    x = 8,583,447.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.