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Finding the Third Proportional to 605,395 and 1,273,529

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Solution

The third proportional to 605,395 and 1,273,529 is: 2,679,037.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,395 : 1,273,529 = 1,273,529 : x
  2. Step 2: Convert to fraction form
    605,395/1,273,529 = 1,273,529/x
  3. Step 3: Cross multiply
    605,395x = 1,273,529 × 1,273,529
  4. Step 4: Simplify right side
    605,395x = 1,621,876,113,841
  5. Step 5: Solve for x
    x = 1,621,876,113,841/605,395
  6. Step 6: Final answer
    x = 2,679,037.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.