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Finding the Third Proportional to 606,216 and 941,238

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Solution

The third proportional to 606,216 and 941,238 is: 1,461,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,216 : 941,238 = 941,238 : x
  2. Step 2: Convert to fraction form
    606,216/941,238 = 941,238/x
  3. Step 3: Cross multiply
    606,216x = 941,238 × 941,238
  4. Step 4: Simplify right side
    606,216x = 885,928,972,644
  5. Step 5: Solve for x
    x = 885,928,972,644/606,216
  6. Step 6: Final answer
    x = 1,461,408.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.