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Finding the Third Proportional to 432,880 and 939,692

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Solution

The third proportional to 432,880 and 939,692 is: 2,039,874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,880 : 939,692 = 939,692 : x
  2. Step 2: Convert to fraction form
    432,880/939,692 = 939,692/x
  3. Step 3: Cross multiply
    432,880x = 939,692 × 939,692
  4. Step 4: Simplify right side
    432,880x = 883,021,054,864
  5. Step 5: Solve for x
    x = 883,021,054,864/432,880
  6. Step 6: Final answer
    x = 2,039,874.92

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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.