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Finding the Third Proportional to 643,144 and 1,379,600

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Solution

The third proportional to 643,144 and 1,379,600 is: 2,959,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,144 : 1,379,600 = 1,379,600 : x
  2. Step 2: Convert to fraction form
    643,144/1,379,600 = 1,379,600/x
  3. Step 3: Cross multiply
    643,144x = 1,379,600 × 1,379,600
  4. Step 4: Simplify right side
    643,144x = 1,903,296,160,000
  5. Step 5: Solve for x
    x = 1,903,296,160,000/643,144
  6. Step 6: Final answer
    x = 2,959,362.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.