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Finding the Third Proportional to 682,116.75 and 1,136,792.53

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Solution

The third proportional to 682,116.75 and 1,136,792.53 is: 1,894,539.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,116.75 : 1,136,792.53 = 1,136,792.53 : x
  2. Step 2: Convert to fraction form
    682,116.75/1,136,792.53 = 1,136,792.53/x
  3. Step 3: Cross multiply
    682,116.75x = 1,136,792.53 × 1,136,792.53
  4. Step 4: Simplify right side
    682,116.75x = 1,292,297,259,105.78
  5. Step 5: Solve for x
    x = 1,292,297,259,105.78/682,116.75
  6. Step 6: Final answer
    x = 1,894,539.69

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.