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Finding the Third Proportional to 428,601 and 941,811.75

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Solution

The third proportional to 428,601 and 941,811.75 is: 2,069,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,601 : 941,811.75 = 941,811.75 : x
  2. Step 2: Convert to fraction form
    428,601/941,811.75 = 941,811.75/x
  3. Step 3: Cross multiply
    428,601x = 941,811.75 × 941,811.75
  4. Step 4: Simplify right side
    428,601x = 887,009,372,438.06
  5. Step 5: Solve for x
    x = 887,009,372,438.06/428,601
  6. Step 6: Final answer
    x = 2,069,545.74

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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.