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Finding the Third Proportional to 654,144 and 959,676

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Solution

The third proportional to 654,144 and 959,676 is: 1,407,913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,144 : 959,676 = 959,676 : x
  2. Step 2: Convert to fraction form
    654,144/959,676 = 959,676/x
  3. Step 3: Cross multiply
    654,144x = 959,676 × 959,676
  4. Step 4: Simplify right side
    654,144x = 920,978,024,976
  5. Step 5: Solve for x
    x = 920,978,024,976/654,144
  6. Step 6: Final answer
    x = 1,407,913.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.