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Finding the Third Proportional to 482,694 and 1,048,425

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Solution

The third proportional to 482,694 and 1,048,425 is: 2,277,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,694 : 1,048,425 = 1,048,425 : x
  2. Step 2: Convert to fraction form
    482,694/1,048,425 = 1,048,425/x
  3. Step 3: Cross multiply
    482,694x = 1,048,425 × 1,048,425
  4. Step 4: Simplify right side
    482,694x = 1,099,194,980,625
  5. Step 5: Solve for x
    x = 1,099,194,980,625/482,694
  6. Step 6: Final answer
    x = 2,277,208.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.