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Finding the Third Proportional to 1,820,167 and 3,924,149

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Solution

The third proportional to 1,820,167 and 3,924,149 is: 8,460,182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820,167 : 3,924,149 = 3,924,149 : x
  2. Step 2: Convert to fraction form
    1,820,167/3,924,149 = 3,924,149/x
  3. Step 3: Cross multiply
    1,820,167x = 3,924,149 × 3,924,149
  4. Step 4: Simplify right side
    1,820,167x = 15,398,945,374,201
  5. Step 5: Solve for x
    x = 15,398,945,374,201/1,820,167
  6. Step 6: Final answer
    x = 8,460,182.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.