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Finding the Third Proportional to 754,640 and 1,644,064

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Solution

The third proportional to 754,640 and 1,644,064 is: 3,581,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,640 : 1,644,064 = 1,644,064 : x
  2. Step 2: Convert to fraction form
    754,640/1,644,064 = 1,644,064/x
  3. Step 3: Cross multiply
    754,640x = 1,644,064 × 1,644,064
  4. Step 4: Simplify right side
    754,640x = 2,702,946,436,096
  5. Step 5: Solve for x
    x = 2,702,946,436,096/754,640
  6. Step 6: Final answer
    x = 3,581,769.37

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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.