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Finding the Third Proportional to 1,969,792 and 4,233,824

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Solution

The third proportional to 1,969,792 and 4,233,824 is: 9,100,080.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969,792 : 4,233,824 = 4,233,824 : x
  2. Step 2: Convert to fraction form
    1,969,792/4,233,824 = 4,233,824/x
  3. Step 3: Cross multiply
    1,969,792x = 4,233,824 × 4,233,824
  4. Step 4: Simplify right side
    1,969,792x = 17,925,265,662,976
  5. Step 5: Solve for x
    x = 17,925,265,662,976/1,969,792
  6. Step 6: Final answer
    x = 9,100,080.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.