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Finding the Third Proportional to 383,135,427 and 591,937,794

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Solution

The third proportional to 383,135,427 and 591,937,794 is: 914,533,940.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,135,427 : 591,937,794 = 591,937,794 : x
  2. Step 2: Convert to fraction form
    383,135,427/591,937,794 = 591,937,794/x
  3. Step 3: Cross multiply
    383,135,427x = 591,937,794 × 591,937,794
  4. Step 4: Simplify right side
    383,135,427x = 350,390,351,965,586,432
  5. Step 5: Solve for x
    x = 350,390,351,965,586,432/383,135,427
  6. Step 6: Final answer
    x = 914,533,940.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.