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Finding the Third Proportional to 1,782,702 and 2,682,585

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Solution

The third proportional to 1,782,702 and 2,682,585 is: 4,036,716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,702 : 2,682,585 = 2,682,585 : x
  2. Step 2: Convert to fraction form
    1,782,702/2,682,585 = 2,682,585/x
  3. Step 3: Cross multiply
    1,782,702x = 2,682,585 × 2,682,585
  4. Step 4: Simplify right side
    1,782,702x = 7,196,262,282,225
  5. Step 5: Solve for x
    x = 7,196,262,282,225/1,782,702
  6. Step 6: Final answer
    x = 4,036,716.33

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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.