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Finding the Third Proportional to 2,328,480 and 5,089,824

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Solution

The third proportional to 2,328,480 and 5,089,824 is: 11,125,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328,480 : 5,089,824 = 5,089,824 : x
  2. Step 2: Convert to fraction form
    2,328,480/5,089,824 = 5,089,824/x
  3. Step 3: Cross multiply
    2,328,480x = 5,089,824 × 5,089,824
  4. Step 4: Simplify right side
    2,328,480x = 25,906,308,350,976
  5. Step 5: Solve for x
    x = 25,906,308,350,976/2,328,480
  6. Step 6: Final answer
    x = 11,125,845.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.