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Finding the Third Proportional to 457,652.81 and 984,180.94

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Solution

The third proportional to 457,652.81 and 984,180.94 is: 2,116,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,652.81 : 984,180.94 = 984,180.94 : x
  2. Step 2: Convert to fraction form
    457,652.81/984,180.94 = 984,180.94/x
  3. Step 3: Cross multiply
    457,652.81x = 984,180.94 × 984,180.94
  4. Step 4: Simplify right side
    457,652.81x = 968,612,117,738.38
  5. Step 5: Solve for x
    x = 968,612,117,738.38/457,652.81
  6. Step 6: Final answer
    x = 2,116,478.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.