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Finding the Third Proportional to 1,296,660 and 1,902,951

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Solution

The third proportional to 1,296,660 and 1,902,951 is: 2,792,730.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,660 : 1,902,951 = 1,902,951 : x
  2. Step 2: Convert to fraction form
    1,296,660/1,902,951 = 1,902,951/x
  3. Step 3: Cross multiply
    1,296,660x = 1,902,951 × 1,902,951
  4. Step 4: Simplify right side
    1,296,660x = 3,621,222,508,401
  5. Step 5: Solve for x
    x = 3,621,222,508,401/1,296,660
  6. Step 6: Final answer
    x = 2,792,730.95

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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.