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Finding the Third Proportional to 757,728 and 1,262,704

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Solution

The third proportional to 757,728 and 1,262,704 is: 2,104,213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,728 : 1,262,704 = 1,262,704 : x
  2. Step 2: Convert to fraction form
    757,728/1,262,704 = 1,262,704/x
  3. Step 3: Cross multiply
    757,728x = 1,262,704 × 1,262,704
  4. Step 4: Simplify right side
    757,728x = 1,594,421,391,616
  5. Step 5: Solve for x
    x = 1,594,421,391,616/757,728
  6. Step 6: Final answer
    x = 2,104,213.37

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.