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Finding the Third Proportional to 1,682,542.13 and 2,610,240.19

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Solution

The third proportional to 1,682,542.13 and 2,610,240.19 is: 4,049,440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,542.13 : 2,610,240.19 = 2,610,240.19 : x
  2. Step 2: Convert to fraction form
    1,682,542.13/2,610,240.19 = 2,610,240.19/x
  3. Step 3: Cross multiply
    1,682,542.13x = 2,610,240.19 × 2,610,240.19
  4. Step 4: Simplify right side
    1,682,542.13x = 6,813,353,836,440.04
  5. Step 5: Solve for x
    x = 6,813,353,836,440.04/1,682,542.13
  6. Step 6: Final answer
    x = 4,049,440.27

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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.