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Finding the Third Proportional to 428,202 and 941,134.50

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Solution

The third proportional to 428,202 and 941,134.50 is: 2,068,496.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,202 : 941,134.50 = 941,134.50 : x
  2. Step 2: Convert to fraction form
    428,202/941,134.50 = 941,134.50/x
  3. Step 3: Cross multiply
    428,202x = 941,134.50 × 941,134.50
  4. Step 4: Simplify right side
    428,202x = 885,734,147,090.25
  5. Step 5: Solve for x
    x = 885,734,147,090.25/428,202
  6. Step 6: Final answer
    x = 2,068,496.05

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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.