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Finding the Third Proportional to 754,204 and 1,626,425

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Solution

The third proportional to 754,204 and 1,626,425 is: 3,507,351.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,204 : 1,626,425 = 1,626,425 : x
  2. Step 2: Convert to fraction form
    754,204/1,626,425 = 1,626,425/x
  3. Step 3: Cross multiply
    754,204x = 1,626,425 × 1,626,425
  4. Step 4: Simplify right side
    754,204x = 2,645,258,280,625
  5. Step 5: Solve for x
    x = 2,645,258,280,625/754,204
  6. Step 6: Final answer
    x = 3,507,351.17

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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.