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Finding the Third Proportional to 919,640 and 1,418,824

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Solution

The third proportional to 919,640 and 1,418,824 is: 2,188,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,640 : 1,418,824 = 1,418,824 : x
  2. Step 2: Convert to fraction form
    919,640/1,418,824 = 1,418,824/x
  3. Step 3: Cross multiply
    919,640x = 1,418,824 × 1,418,824
  4. Step 4: Simplify right side
    919,640x = 2,013,061,542,976
  5. Step 5: Solve for x
    x = 2,013,061,542,976/919,640
  6. Step 6: Final answer
    x = 2,188,966.93

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.