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Finding the Third Proportional to 668,296 and 1,440,916

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Solution

The third proportional to 668,296 and 1,440,916 is: 3,106,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,296 : 1,440,916 = 1,440,916 : x
  2. Step 2: Convert to fraction form
    668,296/1,440,916 = 1,440,916/x
  3. Step 3: Cross multiply
    668,296x = 1,440,916 × 1,440,916
  4. Step 4: Simplify right side
    668,296x = 2,076,238,919,056
  5. Step 5: Solve for x
    x = 2,076,238,919,056/668,296
  6. Step 6: Final answer
    x = 3,106,765.44

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Why These Related Problems?

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