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Finding the Third Proportional to 768,192 and 1,162,902

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Solution

The third proportional to 768,192 and 1,162,902 is: 1,760,420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,192 : 1,162,902 = 1,162,902 : x
  2. Step 2: Convert to fraction form
    768,192/1,162,902 = 1,162,902/x
  3. Step 3: Cross multiply
    768,192x = 1,162,902 × 1,162,902
  4. Step 4: Simplify right side
    768,192x = 1,352,341,061,604
  5. Step 5: Solve for x
    x = 1,352,341,061,604/768,192
  6. Step 6: Final answer
    x = 1,760,420.65

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