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Finding the Third Proportional to 428,159.25 and 941,064.75

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Solution

The third proportional to 428,159.25 and 941,064.75 is: 2,068,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,159.25 : 941,064.75 = 941,064.75 : x
  2. Step 2: Convert to fraction form
    428,159.25/941,064.75 = 941,064.75/x
  3. Step 3: Cross multiply
    428,159.25x = 941,064.75 × 941,064.75
  4. Step 4: Simplify right side
    428,159.25x = 885,602,863,692.56
  5. Step 5: Solve for x
    x = 885,602,863,692.56/428,159.25
  6. Step 6: Final answer
    x = 2,068,395.96

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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.