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Finding the Third Proportional to 520,517 and 1,253,946

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Solution

The third proportional to 520,517 and 1,253,946 is: 3,020,805.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,517 : 1,253,946 = 1,253,946 : x
  2. Step 2: Convert to fraction form
    520,517/1,253,946 = 1,253,946/x
  3. Step 3: Cross multiply
    520,517x = 1,253,946 × 1,253,946
  4. Step 4: Simplify right side
    520,517x = 1,572,380,570,916
  5. Step 5: Solve for x
    x = 1,572,380,570,916/520,517
  6. Step 6: Final answer
    x = 3,020,805.41

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.