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Finding the Third Proportional to 428,524 and 941,110

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Solution

The third proportional to 428,524 and 941,110 is: 2,066,834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,524 : 941,110 = 941,110 : x
  2. Step 2: Convert to fraction form
    428,524/941,110 = 941,110/x
  3. Step 3: Cross multiply
    428,524x = 941,110 × 941,110
  4. Step 4: Simplify right side
    428,524x = 885,688,032,100
  5. Step 5: Solve for x
    x = 885,688,032,100/428,524
  6. Step 6: Final answer
    x = 2,066,834.14

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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.