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Finding the Third Proportional to 682,586 and 1,489,396

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Solution

The third proportional to 682,586 and 1,489,396 is: 3,249,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,586 : 1,489,396 = 1,489,396 : x
  2. Step 2: Convert to fraction form
    682,586/1,489,396 = 1,489,396/x
  3. Step 3: Cross multiply
    682,586x = 1,489,396 × 1,489,396
  4. Step 4: Simplify right side
    682,586x = 2,218,300,444,816
  5. Step 5: Solve for x
    x = 2,218,300,444,816/682,586
  6. Step 6: Final answer
    x = 3,249,847.56

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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.