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Finding the Third Proportional to 1,397,034 and 2,135,648

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Solution

The third proportional to 1,397,034 and 2,135,648 is: 3,264,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,034 : 2,135,648 = 2,135,648 : x
  2. Step 2: Convert to fraction form
    1,397,034/2,135,648 = 2,135,648/x
  3. Step 3: Cross multiply
    1,397,034x = 2,135,648 × 2,135,648
  4. Step 4: Simplify right side
    1,397,034x = 4,560,992,379,904
  5. Step 5: Solve for x
    x = 4,560,992,379,904/1,397,034
  6. Step 6: Final answer
    x = 3,264,768.34

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.