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Finding the Third Proportional to 562,608 and 1,171,845

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Solution

The third proportional to 562,608 and 1,171,845 is: 2,440,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,608 : 1,171,845 = 1,171,845 : x
  2. Step 2: Convert to fraction form
    562,608/1,171,845 = 1,171,845/x
  3. Step 3: Cross multiply
    562,608x = 1,171,845 × 1,171,845
  4. Step 4: Simplify right side
    562,608x = 1,373,220,704,025
  5. Step 5: Solve for x
    x = 1,373,220,704,025/562,608
  6. Step 6: Final answer
    x = 2,440,812.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.