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Finding the Third Proportional to 919,512 and 1,380,510

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Solution

The third proportional to 919,512 and 1,380,510 is: 2,072,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,512 : 1,380,510 = 1,380,510 : x
  2. Step 2: Convert to fraction form
    919,512/1,380,510 = 1,380,510/x
  3. Step 3: Cross multiply
    919,512x = 1,380,510 × 1,380,510
  4. Step 4: Simplify right side
    919,512x = 1,905,807,860,100
  5. Step 5: Solve for x
    x = 1,905,807,860,100/919,512
  6. Step 6: Final answer
    x = 2,072,629.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.