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Finding the Third Proportional to 739,456 and 1,513,936

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Solution

The third proportional to 739,456 and 1,513,936 is: 3,099,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,456 : 1,513,936 = 1,513,936 : x
  2. Step 2: Convert to fraction form
    739,456/1,513,936 = 1,513,936/x
  3. Step 3: Cross multiply
    739,456x = 1,513,936 × 1,513,936
  4. Step 4: Simplify right side
    739,456x = 2,292,002,212,096
  5. Step 5: Solve for x
    x = 2,292,002,212,096/739,456
  6. Step 6: Final answer
    x = 3,099,578.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.