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Finding the Third Proportional to 446,828 and 972,282

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Solution

The third proportional to 446,828 and 972,282 is: 2,115,651.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,828 : 972,282 = 972,282 : x
  2. Step 2: Convert to fraction form
    446,828/972,282 = 972,282/x
  3. Step 3: Cross multiply
    446,828x = 972,282 × 972,282
  4. Step 4: Simplify right side
    446,828x = 945,332,287,524
  5. Step 5: Solve for x
    x = 945,332,287,524/446,828
  6. Step 6: Final answer
    x = 2,115,651.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.