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Finding the Third Proportional to 431,032 and 936,741

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Solution

The third proportional to 431,032 and 936,741 is: 2,035,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,032 : 936,741 = 936,741 : x
  2. Step 2: Convert to fraction form
    431,032/936,741 = 936,741/x
  3. Step 3: Cross multiply
    431,032x = 936,741 × 936,741
  4. Step 4: Simplify right side
    431,032x = 877,483,701,081
  5. Step 5: Solve for x
    x = 877,483,701,081/431,032
  6. Step 6: Final answer
    x = 2,035,773.91

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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.