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Finding the Third Proportional to 449,089.25 and 970,144.75

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Solution

The third proportional to 449,089.25 and 970,144.75 is: 2,095,754.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,089.25 : 970,144.75 = 970,144.75 : x
  2. Step 2: Convert to fraction form
    449,089.25/970,144.75 = 970,144.75/x
  3. Step 3: Cross multiply
    449,089.25x = 970,144.75 × 970,144.75
  4. Step 4: Simplify right side
    449,089.25x = 941,180,835,952.56
  5. Step 5: Solve for x
    x = 941,180,835,952.56/449,089.25
  6. Step 6: Final answer
    x = 2,095,754.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.