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Finding the Third Proportional to 483,462 and 1,024,552.13

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Solution

The third proportional to 483,462 and 1,024,552.13 is: 2,171,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,462 : 1,024,552.13 = 1,024,552.13 : x
  2. Step 2: Convert to fraction form
    483,462/1,024,552.13 = 1,024,552.13/x
  3. Step 3: Cross multiply
    483,462x = 1,024,552.13 × 1,024,552.13
  4. Step 4: Simplify right side
    483,462x = 1,049,707,056,842.02
  5. Step 5: Solve for x
    x = 1,049,707,056,842.02/483,462
  6. Step 6: Final answer
    x = 2,171,229.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.