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Finding the Third Proportional to 414,898 and 905,194

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Solution

The third proportional to 414,898 and 905,194 is: 1,974,885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,898 : 905,194 = 905,194 : x
  2. Step 2: Convert to fraction form
    414,898/905,194 = 905,194/x
  3. Step 3: Cross multiply
    414,898x = 905,194 × 905,194
  4. Step 4: Simplify right side
    414,898x = 819,376,177,636
  5. Step 5: Solve for x
    x = 819,376,177,636/414,898
  6. Step 6: Final answer
    x = 1,974,885.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.