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Finding the Third Proportional to 683,868 and 1,493,610

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Solution

The third proportional to 683,868 and 1,493,610 is: 3,262,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,868 : 1,493,610 = 1,493,610 : x
  2. Step 2: Convert to fraction form
    683,868/1,493,610 = 1,493,610/x
  3. Step 3: Cross multiply
    683,868x = 1,493,610 × 1,493,610
  4. Step 4: Simplify right side
    683,868x = 2,230,870,832,100
  5. Step 5: Solve for x
    x = 2,230,870,832,100/683,868
  6. Step 6: Final answer
    x = 3,262,136.60

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