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Finding the Third Proportional to 683,208 and 1,091,436

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Solution

The third proportional to 683,208 and 1,091,436 is: 1,743,586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,208 : 1,091,436 = 1,091,436 : x
  2. Step 2: Convert to fraction form
    683,208/1,091,436 = 1,091,436/x
  3. Step 3: Cross multiply
    683,208x = 1,091,436 × 1,091,436
  4. Step 4: Simplify right side
    683,208x = 1,191,232,542,096
  5. Step 5: Solve for x
    x = 1,191,232,542,096/683,208
  6. Step 6: Final answer
    x = 1,743,586.93

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.