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Finding the Third Proportional to 647,469 and 1,408,350

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Solution

The third proportional to 647,469 and 1,408,350 is: 3,063,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,469 : 1,408,350 = 1,408,350 : x
  2. Step 2: Convert to fraction form
    647,469/1,408,350 = 1,408,350/x
  3. Step 3: Cross multiply
    647,469x = 1,408,350 × 1,408,350
  4. Step 4: Simplify right side
    647,469x = 1,983,449,722,500
  5. Step 5: Solve for x
    x = 1,983,449,722,500/647,469
  6. Step 6: Final answer
    x = 3,063,389.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.