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Finding the Third Proportional to 1,836,442 and 3,967,968

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Solution

The third proportional to 1,836,442 and 3,967,968 is: 8,573,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836,442 : 3,967,968 = 3,967,968 : x
  2. Step 2: Convert to fraction form
    1,836,442/3,967,968 = 3,967,968/x
  3. Step 3: Cross multiply
    1,836,442x = 3,967,968 × 3,967,968
  4. Step 4: Simplify right side
    1,836,442x = 15,744,770,049,024
  5. Step 5: Solve for x
    x = 15,744,770,049,024/1,836,442
  6. Step 6: Final answer
    x = 8,573,518.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.