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Finding the Third Proportional to 446,238 and 980,644

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Solution

The third proportional to 446,238 and 980,644 is: 2,155,044.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,238 : 980,644 = 980,644 : x
  2. Step 2: Convert to fraction form
    446,238/980,644 = 980,644/x
  3. Step 3: Cross multiply
    446,238x = 980,644 × 980,644
  4. Step 4: Simplify right side
    446,238x = 961,662,654,736
  5. Step 5: Solve for x
    x = 961,662,654,736/446,238
  6. Step 6: Final answer
    x = 2,155,044.29

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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.