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Finding the Third Proportional to 619,190 and 1,264,616

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Solution

The third proportional to 619,190 and 1,264,616 is: 2,582,815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,190 : 1,264,616 = 1,264,616 : x
  2. Step 2: Convert to fraction form
    619,190/1,264,616 = 1,264,616/x
  3. Step 3: Cross multiply
    619,190x = 1,264,616 × 1,264,616
  4. Step 4: Simplify right side
    619,190x = 1,599,253,627,456
  5. Step 5: Solve for x
    x = 1,599,253,627,456/619,190
  6. Step 6: Final answer
    x = 2,582,815.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.