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Finding the Third Proportional to 1,082,581 and 1,682,798

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Solution

The third proportional to 1,082,581 and 1,682,798 is: 2,615,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,581 : 1,682,798 = 1,682,798 : x
  2. Step 2: Convert to fraction form
    1,082,581/1,682,798 = 1,682,798/x
  3. Step 3: Cross multiply
    1,082,581x = 1,682,798 × 1,682,798
  4. Step 4: Simplify right side
    1,082,581x = 2,831,809,108,804
  5. Step 5: Solve for x
    x = 2,831,809,108,804/1,082,581
  6. Step 6: Final answer
    x = 2,615,794.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.