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Finding the Third Proportional to 903,327,314 and 1,380,954,351

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Solution

The third proportional to 903,327,314 and 1,380,954,351 is: 2,111,122,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,327,314 : 1,380,954,351 = 1,380,954,351 : x
  2. Step 2: Convert to fraction form
    903,327,314/1,380,954,351 = 1,380,954,351/x
  3. Step 3: Cross multiply
    903,327,314x = 1,380,954,351 × 1,380,954,351
  4. Step 4: Simplify right side
    903,327,314x = 1,907,034,919,545,831,168
  5. Step 5: Solve for x
    x = 1,907,034,919,545,831,168/903,327,314
  6. Step 6: Final answer
    x = 2,111,122,834.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.