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Finding the Third Proportional to 446,234 and 980,636

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Solution

The third proportional to 446,234 and 980,636 is: 2,155,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,234 : 980,636 = 980,636 : x
  2. Step 2: Convert to fraction form
    446,234/980,636 = 980,636/x
  3. Step 3: Cross multiply
    446,234x = 980,636 × 980,636
  4. Step 4: Simplify right side
    446,234x = 961,646,964,496
  5. Step 5: Solve for x
    x = 961,646,964,496/446,234
  6. Step 6: Final answer
    x = 2,155,028.45

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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.