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Finding the Third Proportional to 428,527 and 941,116

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Solution

The third proportional to 428,527 and 941,116 is: 2,066,846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,527 : 941,116 = 941,116 : x
  2. Step 2: Convert to fraction form
    428,527/941,116 = 941,116/x
  3. Step 3: Cross multiply
    428,527x = 941,116 × 941,116
  4. Step 4: Simplify right side
    428,527x = 885,699,325,456
  5. Step 5: Solve for x
    x = 885,699,325,456/428,527
  6. Step 6: Final answer
    x = 2,066,846.02

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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.