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Finding the Third Proportional to 1,004,009 and 1,529,544

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Solution

The third proportional to 1,004,009 and 1,529,544 is: 2,330,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,009 : 1,529,544 = 1,529,544 : x
  2. Step 2: Convert to fraction form
    1,004,009/1,529,544 = 1,529,544/x
  3. Step 3: Cross multiply
    1,004,009x = 1,529,544 × 1,529,544
  4. Step 4: Simplify right side
    1,004,009x = 2,339,504,847,936
  5. Step 5: Solve for x
    x = 2,339,504,847,936/1,004,009
  6. Step 6: Final answer
    x = 2,330,163.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.