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Finding the Third Proportional to 748,561.50 and 1,640,601

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Solution

The third proportional to 748,561.50 and 1,640,601 is: 3,595,658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,561.50 : 1,640,601 = 1,640,601 : x
  2. Step 2: Convert to fraction form
    748,561.50/1,640,601 = 1,640,601/x
  3. Step 3: Cross multiply
    748,561.50x = 1,640,601 × 1,640,601
  4. Step 4: Simplify right side
    748,561.50x = 2,691,571,641,201
  5. Step 5: Solve for x
    x = 2,691,571,641,201/748,561.50
  6. Step 6: Final answer
    x = 3,595,658.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.