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Finding the Third Proportional to 446,976 and 976,896

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Solution

The third proportional to 446,976 and 976,896 is: 2,135,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,976 : 976,896 = 976,896 : x
  2. Step 2: Convert to fraction form
    446,976/976,896 = 976,896/x
  3. Step 3: Cross multiply
    446,976x = 976,896 × 976,896
  4. Step 4: Simplify right side
    446,976x = 954,325,794,816
  5. Step 5: Solve for x
    x = 954,325,794,816/446,976
  6. Step 6: Final answer
    x = 2,135,071.67

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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.