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Finding the Third Proportional to 399,618 and 856,233

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Solution

The third proportional to 399,618 and 856,233 is: 1,834,589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,618 : 856,233 = 856,233 : x
  2. Step 2: Convert to fraction form
    399,618/856,233 = 856,233/x
  3. Step 3: Cross multiply
    399,618x = 856,233 × 856,233
  4. Step 4: Simplify right side
    399,618x = 733,134,950,289
  5. Step 5: Solve for x
    x = 733,134,950,289/399,618
  6. Step 6: Final answer
    x = 1,834,589.41

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Why These Related Problems?

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