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Finding the Third Proportional to 1,538,969 and 2,299,843

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Solution

The third proportional to 1,538,969 and 2,299,843 is: 3,436,896.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,969 : 2,299,843 = 2,299,843 : x
  2. Step 2: Convert to fraction form
    1,538,969/2,299,843 = 2,299,843/x
  3. Step 3: Cross multiply
    1,538,969x = 2,299,843 × 2,299,843
  4. Step 4: Simplify right side
    1,538,969x = 5,289,277,824,649
  5. Step 5: Solve for x
    x = 5,289,277,824,649/1,538,969
  6. Step 6: Final answer
    x = 3,436,896.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.