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Finding the Third Proportional to 428,161 and 941,069

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Solution

The third proportional to 428,161 and 941,069 is: 2,068,406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,161 : 941,069 = 941,069 : x
  2. Step 2: Convert to fraction form
    428,161/941,069 = 941,069/x
  3. Step 3: Cross multiply
    428,161x = 941,069 × 941,069
  4. Step 4: Simplify right side
    428,161x = 885,610,862,761
  5. Step 5: Solve for x
    x = 885,610,862,761/428,161
  6. Step 6: Final answer
    x = 2,068,406.19

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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.