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Finding the Third Proportional to 777,510 and 1,269,612

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Solution

The third proportional to 777,510 and 1,269,612 is: 2,073,175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,510 : 1,269,612 = 1,269,612 : x
  2. Step 2: Convert to fraction form
    777,510/1,269,612 = 1,269,612/x
  3. Step 3: Cross multiply
    777,510x = 1,269,612 × 1,269,612
  4. Step 4: Simplify right side
    777,510x = 1,611,914,630,544
  5. Step 5: Solve for x
    x = 1,611,914,630,544/777,510
  6. Step 6: Final answer
    x = 2,073,175.43

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