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Finding the Third Proportional to 606,609 and 929,223

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Solution

The third proportional to 606,609 and 929,223 is: 1,423,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,609 : 929,223 = 929,223 : x
  2. Step 2: Convert to fraction form
    606,609/929,223 = 929,223/x
  3. Step 3: Cross multiply
    606,609x = 929,223 × 929,223
  4. Step 4: Simplify right side
    606,609x = 863,455,383,729
  5. Step 5: Solve for x
    x = 863,455,383,729/606,609
  6. Step 6: Final answer
    x = 1,423,413.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.