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Finding the Third Proportional to 431,034 and 936,745

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Solution

The third proportional to 431,034 and 936,745 is: 2,035,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,034 : 936,745 = 936,745 : x
  2. Step 2: Convert to fraction form
    431,034/936,745 = 936,745/x
  3. Step 3: Cross multiply
    431,034x = 936,745 × 936,745
  4. Step 4: Simplify right side
    431,034x = 877,491,195,025
  5. Step 5: Solve for x
    x = 877,491,195,025/431,034
  6. Step 6: Final answer
    x = 2,035,781.85

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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.