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Finding the Third Proportional to 529,269 and 1,146,021

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Solution

The third proportional to 529,269 and 1,146,021 is: 2,481,468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,269 : 1,146,021 = 1,146,021 : x
  2. Step 2: Convert to fraction form
    529,269/1,146,021 = 1,146,021/x
  3. Step 3: Cross multiply
    529,269x = 1,146,021 × 1,146,021
  4. Step 4: Simplify right side
    529,269x = 1,313,364,132,441
  5. Step 5: Solve for x
    x = 1,313,364,132,441/529,269
  6. Step 6: Final answer
    x = 2,481,468.09

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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.