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Finding the Third Proportional to 446,183 and 869,948

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Solution

The third proportional to 446,183 and 869,948 is: 1,696,186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,183 : 869,948 = 869,948 : x
  2. Step 2: Convert to fraction form
    446,183/869,948 = 869,948/x
  3. Step 3: Cross multiply
    446,183x = 869,948 × 869,948
  4. Step 4: Simplify right side
    446,183x = 756,809,522,704
  5. Step 5: Solve for x
    x = 756,809,522,704/446,183
  6. Step 6: Final answer
    x = 1,696,186.37

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.