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Finding the Third Proportional to 431,037 and 936,684

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Solution

The third proportional to 431,037 and 936,684 is: 2,035,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,037 : 936,684 = 936,684 : x
  2. Step 2: Convert to fraction form
    431,037/936,684 = 936,684/x
  3. Step 3: Cross multiply
    431,037x = 936,684 × 936,684
  4. Step 4: Simplify right side
    431,037x = 877,376,915,856
  5. Step 5: Solve for x
    x = 877,376,915,856/431,037
  6. Step 6: Final answer
    x = 2,035,502.56

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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.