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Finding the Third Proportional to 1,296,675 and 1,902,942

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Solution

The third proportional to 1,296,675 and 1,902,942 is: 2,792,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,675 : 1,902,942 = 1,902,942 : x
  2. Step 2: Convert to fraction form
    1,296,675/1,902,942 = 1,902,942/x
  3. Step 3: Cross multiply
    1,296,675x = 1,902,942 × 1,902,942
  4. Step 4: Simplify right side
    1,296,675x = 3,621,188,255,364
  5. Step 5: Solve for x
    x = 3,621,188,255,364/1,296,675
  6. Step 6: Final answer
    x = 2,792,672.22

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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.