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Finding the Third Proportional to 428,145.75 and 941,040

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Solution

The third proportional to 428,145.75 and 941,040 is: 2,068,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,145.75 : 941,040 = 941,040 : x
  2. Step 2: Convert to fraction form
    428,145.75/941,040 = 941,040/x
  3. Step 3: Cross multiply
    428,145.75x = 941,040 × 941,040
  4. Step 4: Simplify right side
    428,145.75x = 885,556,281,600
  5. Step 5: Solve for x
    x = 885,556,281,600/428,145.75
  6. Step 6: Final answer
    x = 2,068,352.38

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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.