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Finding the Third Proportional to 1,222,938 and 2,593,863

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Solution

The third proportional to 1,222,938 and 2,593,863 is: 5,501,607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222,938 : 2,593,863 = 2,593,863 : x
  2. Step 2: Convert to fraction form
    1,222,938/2,593,863 = 2,593,863/x
  3. Step 3: Cross multiply
    1,222,938x = 2,593,863 × 2,593,863
  4. Step 4: Simplify right side
    1,222,938x = 6,728,125,262,769
  5. Step 5: Solve for x
    x = 6,728,125,262,769/1,222,938
  6. Step 6: Final answer
    x = 5,501,607.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.