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Finding the Third Proportional to 773,907 and 1,172,544

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Solution

The third proportional to 773,907 and 1,172,544 is: 1,776,517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,907 : 1,172,544 = 1,172,544 : x
  2. Step 2: Convert to fraction form
    773,907/1,172,544 = 1,172,544/x
  3. Step 3: Cross multiply
    773,907x = 1,172,544 × 1,172,544
  4. Step 4: Simplify right side
    773,907x = 1,374,859,431,936
  5. Step 5: Solve for x
    x = 1,374,859,431,936/773,907
  6. Step 6: Final answer
    x = 1,776,517.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.