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Finding the Third Proportional to 601,825 and 892,785

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Solution

The third proportional to 601,825 and 892,785 is: 1,324,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,825 : 892,785 = 892,785 : x
  2. Step 2: Convert to fraction form
    601,825/892,785 = 892,785/x
  3. Step 3: Cross multiply
    601,825x = 892,785 × 892,785
  4. Step 4: Simplify right side
    601,825x = 797,065,056,225
  5. Step 5: Solve for x
    x = 797,065,056,225/601,825
  6. Step 6: Final answer
    x = 1,324,413.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.