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Finding the Third Proportional to 682,771 and 1,496,155

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Solution

The third proportional to 682,771 and 1,496,155 is: 3,278,522.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,771 : 1,496,155 = 1,496,155 : x
  2. Step 2: Convert to fraction form
    682,771/1,496,155 = 1,496,155/x
  3. Step 3: Cross multiply
    682,771x = 1,496,155 × 1,496,155
  4. Step 4: Simplify right side
    682,771x = 2,238,479,784,025
  5. Step 5: Solve for x
    x = 2,238,479,784,025/682,771
  6. Step 6: Final answer
    x = 3,278,522.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.