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Finding the Third Proportional to 1,296,813 and 2,083,608

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Solution

The third proportional to 1,296,813 and 2,083,608 is: 3,347,762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,813 : 2,083,608 = 2,083,608 : x
  2. Step 2: Convert to fraction form
    1,296,813/2,083,608 = 2,083,608/x
  3. Step 3: Cross multiply
    1,296,813x = 2,083,608 × 2,083,608
  4. Step 4: Simplify right side
    1,296,813x = 4,341,422,297,664
  5. Step 5: Solve for x
    x = 4,341,422,297,664/1,296,813
  6. Step 6: Final answer
    x = 3,347,762.78

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.