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Finding the Third Proportional to 529,279 and 1,146,041

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Solution

The third proportional to 529,279 and 1,146,041 is: 2,481,507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,279 : 1,146,041 = 1,146,041 : x
  2. Step 2: Convert to fraction form
    529,279/1,146,041 = 1,146,041/x
  3. Step 3: Cross multiply
    529,279x = 1,146,041 × 1,146,041
  4. Step 4: Simplify right side
    529,279x = 1,313,409,973,681
  5. Step 5: Solve for x
    x = 1,313,409,973,681/529,279
  6. Step 6: Final answer
    x = 2,481,507.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.