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Finding the Third Proportional to 1,687,153.50 and 3,694,695

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Solution

The third proportional to 1,687,153.50 and 3,694,695 is: 8,091,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,153.50 : 3,694,695 = 3,694,695 : x
  2. Step 2: Convert to fraction form
    1,687,153.50/3,694,695 = 3,694,695/x
  3. Step 3: Cross multiply
    1,687,153.50x = 3,694,695 × 3,694,695
  4. Step 4: Simplify right side
    1,687,153.50x = 13,650,771,143,025
  5. Step 5: Solve for x
    x = 13,650,771,143,025/1,687,153.50
  6. Step 6: Final answer
    x = 8,091,007.22

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Why These Related Problems?

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