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Finding the Third Proportional to 1,532,858 and 3,224,512

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Solution

The third proportional to 1,532,858 and 3,224,512 is: 6,783,066.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532,858 : 3,224,512 = 3,224,512 : x
  2. Step 2: Convert to fraction form
    1,532,858/3,224,512 = 3,224,512/x
  3. Step 3: Cross multiply
    1,532,858x = 3,224,512 × 3,224,512
  4. Step 4: Simplify right side
    1,532,858x = 10,397,477,638,144
  5. Step 5: Solve for x
    x = 10,397,477,638,144/1,532,858
  6. Step 6: Final answer
    x = 6,783,066.43

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.