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Finding the Third Proportional to 665,096 and 1,454,608

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Solution

The third proportional to 665,096 and 1,454,608 is: 3,181,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,096 : 1,454,608 = 1,454,608 : x
  2. Step 2: Convert to fraction form
    665,096/1,454,608 = 1,454,608/x
  3. Step 3: Cross multiply
    665,096x = 1,454,608 × 1,454,608
  4. Step 4: Simplify right side
    665,096x = 2,115,884,433,664
  5. Step 5: Solve for x
    x = 2,115,884,433,664/665,096
  6. Step 6: Final answer
    x = 3,181,321.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.