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Finding the Third Proportional to 428,137 and 941,020

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Solution

The third proportional to 428,137 and 941,020 is: 2,068,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,137 : 941,020 = 941,020 : x
  2. Step 2: Convert to fraction form
    428,137/941,020 = 941,020/x
  3. Step 3: Cross multiply
    428,137x = 941,020 × 941,020
  4. Step 4: Simplify right side
    428,137x = 885,518,640,400
  5. Step 5: Solve for x
    x = 885,518,640,400/428,137
  6. Step 6: Final answer
    x = 2,068,306.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.