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Finding the Third Proportional to 1,782,706 and 2,682,591

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Solution

The third proportional to 1,782,706 and 2,682,591 is: 4,036,725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,706 : 2,682,591 = 2,682,591 : x
  2. Step 2: Convert to fraction form
    1,782,706/2,682,591 = 2,682,591/x
  3. Step 3: Cross multiply
    1,782,706x = 2,682,591 × 2,682,591
  4. Step 4: Simplify right side
    1,782,706x = 7,196,294,473,281
  5. Step 5: Solve for x
    x = 7,196,294,473,281/1,782,706
  6. Step 6: Final answer
    x = 4,036,725.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.