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Finding the Third Proportional to 1,741,524 and 2,638,560

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Solution

The third proportional to 1,741,524 and 2,638,560 is: 3,997,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,524 : 2,638,560 = 2,638,560 : x
  2. Step 2: Convert to fraction form
    1,741,524/2,638,560 = 2,638,560/x
  3. Step 3: Cross multiply
    1,741,524x = 2,638,560 × 2,638,560
  4. Step 4: Simplify right side
    1,741,524x = 6,961,998,873,600
  5. Step 5: Solve for x
    x = 6,961,998,873,600/1,741,524
  6. Step 6: Final answer
    x = 3,997,647.39

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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.