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Finding the Third Proportional to 777,815 and 1,166,744

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Solution

The third proportional to 777,815 and 1,166,744 is: 1,750,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,815 : 1,166,744 = 1,166,744 : x
  2. Step 2: Convert to fraction form
    777,815/1,166,744 = 1,166,744/x
  3. Step 3: Cross multiply
    777,815x = 1,166,744 × 1,166,744
  4. Step 4: Simplify right side
    777,815x = 1,361,291,561,536
  5. Step 5: Solve for x
    x = 1,361,291,561,536/777,815
  6. Step 6: Final answer
    x = 1,750,148.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.