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Finding the Third Proportional to 1,629,000 and 3,369,744

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Solution

The third proportional to 1,629,000 and 3,369,744 is: 6,970,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629,000 : 3,369,744 = 3,369,744 : x
  2. Step 2: Convert to fraction form
    1,629,000/3,369,744 = 3,369,744/x
  3. Step 3: Cross multiply
    1,629,000x = 3,369,744 × 3,369,744
  4. Step 4: Simplify right side
    1,629,000x = 11,355,174,625,536
  5. Step 5: Solve for x
    x = 11,355,174,625,536/1,629,000
  6. Step 6: Final answer
    x = 6,970,641.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.