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Finding the Third Proportional to 446,984 and 976,912

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Solution

The third proportional to 446,984 and 976,912 is: 2,135,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,984 : 976,912 = 976,912 : x
  2. Step 2: Convert to fraction form
    446,984/976,912 = 976,912/x
  3. Step 3: Cross multiply
    446,984x = 976,912 × 976,912
  4. Step 4: Simplify right side
    446,984x = 954,357,055,744
  5. Step 5: Solve for x
    x = 954,357,055,744/446,984
  6. Step 6: Final answer
    x = 2,135,103.39

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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.