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Finding the Third Proportional to 446,256 and 980,676

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Solution

The third proportional to 446,256 and 980,676 is: 2,155,098.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,256 : 980,676 = 980,676 : x
  2. Step 2: Convert to fraction form
    446,256/980,676 = 980,676/x
  3. Step 3: Cross multiply
    446,256x = 980,676 × 980,676
  4. Step 4: Simplify right side
    446,256x = 961,725,416,976
  5. Step 5: Solve for x
    x = 961,725,416,976/446,256
  6. Step 6: Final answer
    x = 2,155,098.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.