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Finding the Third Proportional to 1,969,800 and 4,233,840

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Solution

The third proportional to 1,969,800 and 4,233,840 is: 9,100,112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969,800 : 4,233,840 = 4,233,840 : x
  2. Step 2: Convert to fraction form
    1,969,800/4,233,840 = 4,233,840/x
  3. Step 3: Cross multiply
    1,969,800x = 4,233,840 × 4,233,840
  4. Step 4: Simplify right side
    1,969,800x = 17,925,401,145,600
  5. Step 5: Solve for x
    x = 17,925,401,145,600/1,969,800
  6. Step 6: Final answer
    x = 9,100,112.27

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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.