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Finding the Third Proportional to 428,526 and 941,114

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Solution

The third proportional to 428,526 and 941,114 is: 2,066,842.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,526 : 941,114 = 941,114 : x
  2. Step 2: Convert to fraction form
    428,526/941,114 = 941,114/x
  3. Step 3: Cross multiply
    428,526x = 941,114 × 941,114
  4. Step 4: Simplify right side
    428,526x = 885,695,560,996
  5. Step 5: Solve for x
    x = 885,695,560,996/428,526
  6. Step 6: Final answer
    x = 2,066,842.06

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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.