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Finding the Third Proportional to 574,211,648 and 1,259,591,912

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Solution

The third proportional to 574,211,648 and 1,259,591,912 is: 2,763,043,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,211,648 : 1,259,591,912 = 1,259,591,912 : x
  2. Step 2: Convert to fraction form
    574,211,648/1,259,591,912 = 1,259,591,912/x
  3. Step 3: Cross multiply
    574,211,648x = 1,259,591,912 × 1,259,591,912
  4. Step 4: Simplify right side
    574,211,648x = 1,586,571,784,775,815,680
  5. Step 5: Solve for x
    x = 1,586,571,784,775,815,680/574,211,648
  6. Step 6: Final answer
    x = 2,763,043,540.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.