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Finding the Third Proportional to 1,188,088 and 2,561,648

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Solution

The third proportional to 1,188,088 and 2,561,648 is: 5,523,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,088 : 2,561,648 = 2,561,648 : x
  2. Step 2: Convert to fraction form
    1,188,088/2,561,648 = 2,561,648/x
  3. Step 3: Cross multiply
    1,188,088x = 2,561,648 × 2,561,648
  4. Step 4: Simplify right side
    1,188,088x = 6,562,040,475,904
  5. Step 5: Solve for x
    x = 6,562,040,475,904/1,188,088
  6. Step 6: Final answer
    x = 5,523,193.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.