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Finding the Third Proportional to 422,934 and 986,880

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Solution

The third proportional to 422,934 and 986,880 is: 2,302,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,934 : 986,880 = 986,880 : x
  2. Step 2: Convert to fraction form
    422,934/986,880 = 986,880/x
  3. Step 3: Cross multiply
    422,934x = 986,880 × 986,880
  4. Step 4: Simplify right side
    422,934x = 973,932,134,400
  5. Step 5: Solve for x
    x = 973,932,134,400/422,934
  6. Step 6: Final answer
    x = 2,302,799.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.