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Finding the Third Proportional to 656,847 and 1,414,984

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Solution

The third proportional to 656,847 and 1,414,984 is: 3,048,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,847 : 1,414,984 = 1,414,984 : x
  2. Step 2: Convert to fraction form
    656,847/1,414,984 = 1,414,984/x
  3. Step 3: Cross multiply
    656,847x = 1,414,984 × 1,414,984
  4. Step 4: Simplify right side
    656,847x = 2,002,179,720,256
  5. Step 5: Solve for x
    x = 2,002,179,720,256/656,847
  6. Step 6: Final answer
    x = 3,048,167.56

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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.