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Finding the Third Proportional to 562,510 and 1,231,867

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Solution

The third proportional to 562,510 and 1,231,867 is: 2,697,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,510 : 1,231,867 = 1,231,867 : x
  2. Step 2: Convert to fraction form
    562,510/1,231,867 = 1,231,867/x
  3. Step 3: Cross multiply
    562,510x = 1,231,867 × 1,231,867
  4. Step 4: Simplify right side
    562,510x = 1,517,496,305,689
  5. Step 5: Solve for x
    x = 1,517,496,305,689/562,510
  6. Step 6: Final answer
    x = 2,697,723.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.