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Finding the Third Proportional to 483,446 and 1,024,524

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Solution

The third proportional to 483,446 and 1,024,524 is: 2,171,182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,446 : 1,024,524 = 1,024,524 : x
  2. Step 2: Convert to fraction form
    483,446/1,024,524 = 1,024,524/x
  3. Step 3: Cross multiply
    483,446x = 1,024,524 × 1,024,524
  4. Step 4: Simplify right side
    483,446x = 1,049,649,426,576
  5. Step 5: Solve for x
    x = 1,049,649,426,576/483,446
  6. Step 6: Final answer
    x = 2,171,182.36

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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.