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Finding the Third Proportional to 1,538,629 and 3,561,648

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Solution

The third proportional to 1,538,629 and 3,561,648 is: 8,244,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,629 : 3,561,648 = 3,561,648 : x
  2. Step 2: Convert to fraction form
    1,538,629/3,561,648 = 3,561,648/x
  3. Step 3: Cross multiply
    1,538,629x = 3,561,648 × 3,561,648
  4. Step 4: Simplify right side
    1,538,629x = 12,685,336,475,904
  5. Step 5: Solve for x
    x = 12,685,336,475,904/1,538,629
  6. Step 6: Final answer
    x = 8,244,571.29

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.