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Finding the Third Proportional to 446,270 and 980,704

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Solution

The third proportional to 446,270 and 980,704 is: 2,155,153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,270 : 980,704 = 980,704 : x
  2. Step 2: Convert to fraction form
    446,270/980,704 = 980,704/x
  3. Step 3: Cross multiply
    446,270x = 980,704 × 980,704
  4. Step 4: Simplify right side
    446,270x = 961,780,335,616
  5. Step 5: Solve for x
    x = 961,780,335,616/446,270
  6. Step 6: Final answer
    x = 2,155,153.46

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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.