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Finding the Third Proportional to 814,158 and 1,740,361

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Solution

The third proportional to 814,158 and 1,740,361 is: 3,720,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,158 : 1,740,361 = 1,740,361 : x
  2. Step 2: Convert to fraction form
    814,158/1,740,361 = 1,740,361/x
  3. Step 3: Cross multiply
    814,158x = 1,740,361 × 1,740,361
  4. Step 4: Simplify right side
    814,158x = 3,028,856,410,321
  5. Step 5: Solve for x
    x = 3,028,856,410,321/814,158
  6. Step 6: Final answer
    x = 3,720,231.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.