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Finding the Third Proportional to 777,512 and 1,269,608

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Solution

The third proportional to 777,512 and 1,269,608 is: 2,073,157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,512 : 1,269,608 = 1,269,608 : x
  2. Step 2: Convert to fraction form
    777,512/1,269,608 = 1,269,608/x
  3. Step 3: Cross multiply
    777,512x = 1,269,608 × 1,269,608
  4. Step 4: Simplify right side
    777,512x = 1,611,904,473,664
  5. Step 5: Solve for x
    x = 1,611,904,473,664/777,512
  6. Step 6: Final answer
    x = 2,073,157.04

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.