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Finding the Third Proportional to 1,969,128 and 2,815,824

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Solution

The third proportional to 1,969,128 and 2,815,824 is: 4,026,586.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969,128 : 2,815,824 = 2,815,824 : x
  2. Step 2: Convert to fraction form
    1,969,128/2,815,824 = 2,815,824/x
  3. Step 3: Cross multiply
    1,969,128x = 2,815,824 × 2,815,824
  4. Step 4: Simplify right side
    1,969,128x = 7,928,864,798,976
  5. Step 5: Solve for x
    x = 7,928,864,798,976/1,969,128
  6. Step 6: Final answer
    x = 4,026,586.79

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.