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Finding the Third Proportional to 773,919 and 1,172,583

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Solution

The third proportional to 773,919 and 1,172,583 is: 1,776,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,919 : 1,172,583 = 1,172,583 : x
  2. Step 2: Convert to fraction form
    773,919/1,172,583 = 1,172,583/x
  3. Step 3: Cross multiply
    773,919x = 1,172,583 × 1,172,583
  4. Step 4: Simplify right side
    773,919x = 1,374,950,891,889
  5. Step 5: Solve for x
    x = 1,374,950,891,889/773,919
  6. Step 6: Final answer
    x = 1,776,608.27

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Why These Related Problems?

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