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Finding the Third Proportional to 820,272 and 1,757,184

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Solution

The third proportional to 820,272 and 1,757,184 is: 3,764,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,272 : 1,757,184 = 1,757,184 : x
  2. Step 2: Convert to fraction form
    820,272/1,757,184 = 1,757,184/x
  3. Step 3: Cross multiply
    820,272x = 1,757,184 × 1,757,184
  4. Step 4: Simplify right side
    820,272x = 3,087,695,609,856
  5. Step 5: Solve for x
    x = 3,087,695,609,856/820,272
  6. Step 6: Final answer
    x = 3,764,233.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.