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Finding the Third Proportional to 524,462 and 1,150,012

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Solution

The third proportional to 524,462 and 1,150,012 is: 2,521,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,462 : 1,150,012 = 1,150,012 : x
  2. Step 2: Convert to fraction form
    524,462/1,150,012 = 1,150,012/x
  3. Step 3: Cross multiply
    524,462x = 1,150,012 × 1,150,012
  4. Step 4: Simplify right side
    524,462x = 1,322,527,600,144
  5. Step 5: Solve for x
    x = 1,322,527,600,144/524,462
  6. Step 6: Final answer
    x = 2,521,684.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.