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Finding the Third Proportional to 432,874 and 939,680

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Solution

The third proportional to 432,874 and 939,680 is: 2,039,851.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,874 : 939,680 = 939,680 : x
  2. Step 2: Convert to fraction form
    432,874/939,680 = 939,680/x
  3. Step 3: Cross multiply
    432,874x = 939,680 × 939,680
  4. Step 4: Simplify right side
    432,874x = 882,998,502,400
  5. Step 5: Solve for x
    x = 882,998,502,400/432,874
  6. Step 6: Final answer
    x = 2,039,851.09

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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.