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Finding the Third Proportional to 432,876 and 939,684

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Solution

The third proportional to 432,876 and 939,684 is: 2,039,859.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,876 : 939,684 = 939,684 : x
  2. Step 2: Convert to fraction form
    432,876/939,684 = 939,684/x
  3. Step 3: Cross multiply
    432,876x = 939,684 × 939,684
  4. Step 4: Simplify right side
    432,876x = 883,006,019,856
  5. Step 5: Solve for x
    x = 883,006,019,856/432,876
  6. Step 6: Final answer
    x = 2,039,859.04

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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.