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Finding the Third Proportional to 768,208 and 1,162,920

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Solution

The third proportional to 768,208 and 1,162,920 is: 1,760,438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,208 : 1,162,920 = 1,162,920 : x
  2. Step 2: Convert to fraction form
    768,208/1,162,920 = 1,162,920/x
  3. Step 3: Cross multiply
    768,208x = 1,162,920 × 1,162,920
  4. Step 4: Simplify right side
    768,208x = 1,352,382,926,400
  5. Step 5: Solve for x
    x = 1,352,382,926,400/768,208
  6. Step 6: Final answer
    x = 1,760,438.48

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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.