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Finding the Third Proportional to 682,830 and 1,491,777

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Solution

The third proportional to 682,830 and 1,491,777 is: 3,259,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,830 : 1,491,777 = 1,491,777 : x
  2. Step 2: Convert to fraction form
    682,830/1,491,777 = 1,491,777/x
  3. Step 3: Cross multiply
    682,830x = 1,491,777 × 1,491,777
  4. Step 4: Simplify right side
    682,830x = 2,225,398,617,729
  5. Step 5: Solve for x
    x = 2,225,398,617,729/682,830
  6. Step 6: Final answer
    x = 3,259,081.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.