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Finding the Third Proportional to 524,514 and 1,093,308

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Solution

The third proportional to 524,514 and 1,093,308 is: 2,278,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,514 : 1,093,308 = 1,093,308 : x
  2. Step 2: Convert to fraction form
    524,514/1,093,308 = 1,093,308/x
  3. Step 3: Cross multiply
    524,514x = 1,093,308 × 1,093,308
  4. Step 4: Simplify right side
    524,514x = 1,195,322,382,864
  5. Step 5: Solve for x
    x = 1,195,322,382,864/524,514
  6. Step 6: Final answer
    x = 2,278,914.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.