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Finding the Third Proportional to 437,217.75 and 949,114.13

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Solution

The third proportional to 437,217.75 and 949,114.13 is: 2,060,340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,217.75 : 949,114.13 = 949,114.13 : x
  2. Step 2: Convert to fraction form
    437,217.75/949,114.13 = 949,114.13/x
  3. Step 3: Cross multiply
    437,217.75x = 949,114.13 × 949,114.13
  4. Step 4: Simplify right side
    437,217.75x = 900,817,622,274.52
  5. Step 5: Solve for x
    x = 900,817,622,274.52/437,217.75
  6. Step 6: Final answer
    x = 2,060,340.92

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.