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Finding the Third Proportional to 446,187 and 869,955

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Solution

The third proportional to 446,187 and 869,955 is: 1,696,198.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,187 : 869,955 = 869,955 : x
  2. Step 2: Convert to fraction form
    446,187/869,955 = 869,955/x
  3. Step 3: Cross multiply
    446,187x = 869,955 × 869,955
  4. Step 4: Simplify right side
    446,187x = 756,821,702,025
  5. Step 5: Solve for x
    x = 756,821,702,025/446,187
  6. Step 6: Final answer
    x = 1,696,198.46

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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.