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Finding the Third Proportional to 744,832 and 1,607,744

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Solution

The third proportional to 744,832 and 1,607,744 is: 3,470,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,832 : 1,607,744 = 1,607,744 : x
  2. Step 2: Convert to fraction form
    744,832/1,607,744 = 1,607,744/x
  3. Step 3: Cross multiply
    744,832x = 1,607,744 × 1,607,744
  4. Step 4: Simplify right side
    744,832x = 2,584,840,769,536
  5. Step 5: Solve for x
    x = 2,584,840,769,536/744,832
  6. Step 6: Final answer
    x = 3,470,367.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.