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Finding the Third Proportional to 768,150 and 1,162,836

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Solution

The third proportional to 768,150 and 1,162,836 is: 1,760,317.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,150 : 1,162,836 = 1,162,836 : x
  2. Step 2: Convert to fraction form
    768,150/1,162,836 = 1,162,836/x
  3. Step 3: Cross multiply
    768,150x = 1,162,836 × 1,162,836
  4. Step 4: Simplify right side
    768,150x = 1,352,187,562,896
  5. Step 5: Solve for x
    x = 1,352,187,562,896/768,150
  6. Step 6: Final answer
    x = 1,760,317.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.