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Finding the Third Proportional to 445,968 and 961,920

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Solution

The third proportional to 445,968 and 961,920 is: 2,074,790.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,968 : 961,920 = 961,920 : x
  2. Step 2: Convert to fraction form
    445,968/961,920 = 961,920/x
  3. Step 3: Cross multiply
    445,968x = 961,920 × 961,920
  4. Step 4: Simplify right side
    445,968x = 925,290,086,400
  5. Step 5: Solve for x
    x = 925,290,086,400/445,968
  6. Step 6: Final answer
    x = 2,074,790.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.