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Finding the Third Proportional to 698,640 and 1,082,103

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Solution

The third proportional to 698,640 and 1,082,103 is: 1,676,037.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,640 : 1,082,103 = 1,082,103 : x
  2. Step 2: Convert to fraction form
    698,640/1,082,103 = 1,082,103/x
  3. Step 3: Cross multiply
    698,640x = 1,082,103 × 1,082,103
  4. Step 4: Simplify right side
    698,640x = 1,170,946,902,609
  5. Step 5: Solve for x
    x = 1,170,946,902,609/698,640
  6. Step 6: Final answer
    x = 1,676,037.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.