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Finding the Third Proportional to 441,748 and 960,824

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Solution

The third proportional to 441,748 and 960,824 is: 2,089,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,748 : 960,824 = 960,824 : x
  2. Step 2: Convert to fraction form
    441,748/960,824 = 960,824/x
  3. Step 3: Cross multiply
    441,748x = 960,824 × 960,824
  4. Step 4: Simplify right side
    441,748x = 923,182,758,976
  5. Step 5: Solve for x
    x = 923,182,758,976/441,748
  6. Step 6: Final answer
    x = 2,089,840.27

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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.