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Finding the Third Proportional to 661,743 and 1,449,495

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Solution

The third proportional to 661,743 and 1,449,495 is: 3,175,002.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,743 : 1,449,495 = 1,449,495 : x
  2. Step 2: Convert to fraction form
    661,743/1,449,495 = 1,449,495/x
  3. Step 3: Cross multiply
    661,743x = 1,449,495 × 1,449,495
  4. Step 4: Simplify right side
    661,743x = 2,101,035,755,025
  5. Step 5: Solve for x
    x = 2,101,035,755,025/661,743
  6. Step 6: Final answer
    x = 3,175,002.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.