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Finding the Third Proportional to 754,400 and 1,616,662

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Solution

The third proportional to 754,400 and 1,616,662 is: 3,464,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,400 : 1,616,662 = 1,616,662 : x
  2. Step 2: Convert to fraction form
    754,400/1,616,662 = 1,616,662/x
  3. Step 3: Cross multiply
    754,400x = 1,616,662 × 1,616,662
  4. Step 4: Simplify right side
    754,400x = 2,613,596,022,244
  5. Step 5: Solve for x
    x = 2,613,596,022,244/754,400
  6. Step 6: Final answer
    x = 3,464,469.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.