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Finding the Third Proportional to 611,508 and 1,297,020

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Solution

The third proportional to 611,508 and 1,297,020 is: 2,751,003.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,508 : 1,297,020 = 1,297,020 : x
  2. Step 2: Convert to fraction form
    611,508/1,297,020 = 1,297,020/x
  3. Step 3: Cross multiply
    611,508x = 1,297,020 × 1,297,020
  4. Step 4: Simplify right side
    611,508x = 1,682,260,880,400
  5. Step 5: Solve for x
    x = 1,682,260,880,400/611,508
  6. Step 6: Final answer
    x = 2,751,003.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.