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Finding the Third Proportional to 428,631.75 and 941,868

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Solution

The third proportional to 428,631.75 and 941,868 is: 2,069,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,631.75 : 941,868 = 941,868 : x
  2. Step 2: Convert to fraction form
    428,631.75/941,868 = 941,868/x
  3. Step 3: Cross multiply
    428,631.75x = 941,868 × 941,868
  4. Step 4: Simplify right side
    428,631.75x = 887,115,329,424
  5. Step 5: Solve for x
    x = 887,115,329,424/428,631.75
  6. Step 6: Final answer
    x = 2,069,644.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.