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Finding the Third Proportional to 1,741,384 and 2,638,361

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Solution

The third proportional to 1,741,384 and 2,638,361 is: 3,997,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,384 : 2,638,361 = 2,638,361 : x
  2. Step 2: Convert to fraction form
    1,741,384/2,638,361 = 2,638,361/x
  3. Step 3: Cross multiply
    1,741,384x = 2,638,361 × 2,638,361
  4. Step 4: Simplify right side
    1,741,384x = 6,960,948,766,321
  5. Step 5: Solve for x
    x = 6,960,948,766,321/1,741,384
  6. Step 6: Final answer
    x = 3,997,365.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.