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Finding the Third Proportional to 437,676 and 941,880

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Solution

The third proportional to 437,676 and 941,880 is: 2,026,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,676 : 941,880 = 941,880 : x
  2. Step 2: Convert to fraction form
    437,676/941,880 = 941,880/x
  3. Step 3: Cross multiply
    437,676x = 941,880 × 941,880
  4. Step 4: Simplify right side
    437,676x = 887,137,934,400
  5. Step 5: Solve for x
    x = 887,137,934,400/437,676
  6. Step 6: Final answer
    x = 2,026,928.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.