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Finding the Third Proportional to 757,728 and 1,131,408

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Solution

The third proportional to 757,728 and 1,131,408 is: 1,689,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,728 : 1,131,408 = 1,131,408 : x
  2. Step 2: Convert to fraction form
    757,728/1,131,408 = 1,131,408/x
  3. Step 3: Cross multiply
    757,728x = 1,131,408 × 1,131,408
  4. Step 4: Simplify right side
    757,728x = 1,280,084,062,464
  5. Step 5: Solve for x
    x = 1,280,084,062,464/757,728
  6. Step 6: Final answer
    x = 1,689,371.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.