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Finding the Third Proportional to 1,448,728 and 3,146,770

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Solution

The third proportional to 1,448,728 and 3,146,770 is: 6,835,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,728 : 3,146,770 = 3,146,770 : x
  2. Step 2: Convert to fraction form
    1,448,728/3,146,770 = 3,146,770/x
  3. Step 3: Cross multiply
    1,448,728x = 3,146,770 × 3,146,770
  4. Step 4: Simplify right side
    1,448,728x = 9,902,161,432,900
  5. Step 5: Solve for x
    x = 9,902,161,432,900/1,448,728
  6. Step 6: Final answer
    x = 6,835,072.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.