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Finding the Third Proportional to 446,512 and 976,855

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Solution

The third proportional to 446,512 and 976,855 is: 2,137,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,512 : 976,855 = 976,855 : x
  2. Step 2: Convert to fraction form
    446,512/976,855 = 976,855/x
  3. Step 3: Cross multiply
    446,512x = 976,855 × 976,855
  4. Step 4: Simplify right side
    446,512x = 954,245,691,025
  5. Step 5: Solve for x
    x = 954,245,691,025/446,512
  6. Step 6: Final answer
    x = 2,137,110.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.