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Finding the Third Proportional to 1,135,728 and 2,507,760

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Solution

The third proportional to 1,135,728 and 2,507,760 is: 5,537,294.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135,728 : 2,507,760 = 2,507,760 : x
  2. Step 2: Convert to fraction form
    1,135,728/2,507,760 = 2,507,760/x
  3. Step 3: Cross multiply
    1,135,728x = 2,507,760 × 2,507,760
  4. Step 4: Simplify right side
    1,135,728x = 6,288,860,217,600
  5. Step 5: Solve for x
    x = 6,288,860,217,600/1,135,728
  6. Step 6: Final answer
    x = 5,537,294.33

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.