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Finding the Third Proportional to 433,742 and 939,874

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Solution

The third proportional to 433,742 and 939,874 is: 2,036,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,742 : 939,874 = 939,874 : x
  2. Step 2: Convert to fraction form
    433,742/939,874 = 939,874/x
  3. Step 3: Cross multiply
    433,742x = 939,874 × 939,874
  4. Step 4: Simplify right side
    433,742x = 883,363,135,876
  5. Step 5: Solve for x
    x = 883,363,135,876/433,742
  6. Step 6: Final answer
    x = 2,036,609.63

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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.