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Finding the Third Proportional to 573,786 and 1,260,809

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Solution

The third proportional to 573,786 and 1,260,809 is: 2,770,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,786 : 1,260,809 = 1,260,809 : x
  2. Step 2: Convert to fraction form
    573,786/1,260,809 = 1,260,809/x
  3. Step 3: Cross multiply
    573,786x = 1,260,809 × 1,260,809
  4. Step 4: Simplify right side
    573,786x = 1,589,639,334,481
  5. Step 5: Solve for x
    x = 1,589,639,334,481/573,786
  6. Step 6: Final answer
    x = 2,770,439.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.