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Finding the Third Proportional to 579,264 and 1,211,463

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Solution

The third proportional to 579,264 and 1,211,463 is: 2,533,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,264 : 1,211,463 = 1,211,463 : x
  2. Step 2: Convert to fraction form
    579,264/1,211,463 = 1,211,463/x
  3. Step 3: Cross multiply
    579,264x = 1,211,463 × 1,211,463
  4. Step 4: Simplify right side
    579,264x = 1,467,642,600,369
  5. Step 5: Solve for x
    x = 1,467,642,600,369/579,264
  6. Step 6: Final answer
    x = 2,533,633.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.