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Finding the Third Proportional to 665,097 and 1,454,610

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Solution

The third proportional to 665,097 and 1,454,610 is: 3,181,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,097 : 1,454,610 = 1,454,610 : x
  2. Step 2: Convert to fraction form
    665,097/1,454,610 = 1,454,610/x
  3. Step 3: Cross multiply
    665,097x = 1,454,610 × 1,454,610
  4. Step 4: Simplify right side
    665,097x = 2,115,890,252,100
  5. Step 5: Solve for x
    x = 2,115,890,252,100/665,097
  6. Step 6: Final answer
    x = 3,181,325.81

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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.