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Finding the Third Proportional to 431,042 and 936,761

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Solution

The third proportional to 431,042 and 936,761 is: 2,035,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,042 : 936,761 = 936,761 : x
  2. Step 2: Convert to fraction form
    431,042/936,761 = 936,761/x
  3. Step 3: Cross multiply
    431,042x = 936,761 × 936,761
  4. Step 4: Simplify right side
    431,042x = 877,521,171,121
  5. Step 5: Solve for x
    x = 877,521,171,121/431,042
  6. Step 6: Final answer
    x = 2,035,813.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.