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Finding the Third Proportional to 562,508 and 1,231,863

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Solution

The third proportional to 562,508 and 1,231,863 is: 2,697,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,508 : 1,231,863 = 1,231,863 : x
  2. Step 2: Convert to fraction form
    562,508/1,231,863 = 1,231,863/x
  3. Step 3: Cross multiply
    562,508x = 1,231,863 × 1,231,863
  4. Step 4: Simplify right side
    562,508x = 1,517,486,450,769
  5. Step 5: Solve for x
    x = 1,517,486,450,769/562,508
  6. Step 6: Final answer
    x = 2,697,715.32

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Why These Related Problems?

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