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Finding the Third Proportional to 1,741,319 and 2,638,314

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Solution

The third proportional to 1,741,319 and 2,638,314 is: 3,997,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,319 : 2,638,314 = 2,638,314 : x
  2. Step 2: Convert to fraction form
    1,741,319/2,638,314 = 2,638,314/x
  3. Step 3: Cross multiply
    1,741,319x = 2,638,314 × 2,638,314
  4. Step 4: Simplify right side
    1,741,319x = 6,960,700,762,596
  5. Step 5: Solve for x
    x = 6,960,700,762,596/1,741,319
  6. Step 6: Final answer
    x = 3,997,372.54

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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.