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Finding the Third Proportional to 432,872 and 939,676

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Solution

The third proportional to 432,872 and 939,676 is: 2,039,843.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,872 : 939,676 = 939,676 : x
  2. Step 2: Convert to fraction form
    432,872/939,676 = 939,676/x
  3. Step 3: Cross multiply
    432,872x = 939,676 × 939,676
  4. Step 4: Simplify right side
    432,872x = 882,990,984,976
  5. Step 5: Solve for x
    x = 882,990,984,976/432,872
  6. Step 6: Final answer
    x = 2,039,843.15

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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.