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Finding the Third Proportional to 453,471.75 and 989,831.25

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Solution

The third proportional to 453,471.75 and 989,831.25 is: 2,160,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,471.75 : 989,831.25 = 989,831.25 : x
  2. Step 2: Convert to fraction form
    453,471.75/989,831.25 = 989,831.25/x
  3. Step 3: Cross multiply
    453,471.75x = 989,831.25 × 989,831.25
  4. Step 4: Simplify right side
    453,471.75x = 979,765,903,476.56
  5. Step 5: Solve for x
    x = 979,765,903,476.56/453,471.75
  6. Step 6: Final answer
    x = 2,160,588.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.