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Finding the Third Proportional to 665,644 and 1,436,256

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Solution

The third proportional to 665,644 and 1,436,256 is: 3,099,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,644 : 1,436,256 = 1,436,256 : x
  2. Step 2: Convert to fraction form
    665,644/1,436,256 = 1,436,256/x
  3. Step 3: Cross multiply
    665,644x = 1,436,256 × 1,436,256
  4. Step 4: Simplify right side
    665,644x = 2,062,831,297,536
  5. Step 5: Solve for x
    x = 2,062,831,297,536/665,644
  6. Step 6: Final answer
    x = 3,099,000.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.