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Finding the Third Proportional to 814,162 and 1,740,367

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Solution

The third proportional to 814,162 and 1,740,367 is: 3,720,239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,162 : 1,740,367 = 1,740,367 : x
  2. Step 2: Convert to fraction form
    814,162/1,740,367 = 1,740,367/x
  3. Step 3: Cross multiply
    814,162x = 1,740,367 × 1,740,367
  4. Step 4: Simplify right side
    814,162x = 3,028,877,294,689
  5. Step 5: Solve for x
    x = 3,028,877,294,689/814,162
  6. Step 6: Final answer
    x = 3,720,239.09

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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.