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Finding the Third Proportional to 583,562,137 and 1,280,659,644

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Solution

The third proportional to 583,562,137 and 1,280,659,644 is: 2,810,478,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,562,137 : 1,280,659,644 = 1,280,659,644 : x
  2. Step 2: Convert to fraction form
    583,562,137/1,280,659,644 = 1,280,659,644/x
  3. Step 3: Cross multiply
    583,562,137x = 1,280,659,644 × 1,280,659,644
  4. Step 4: Simplify right side
    583,562,137x = 1,640,089,123,770,206,720
  5. Step 5: Solve for x
    x = 1,640,089,123,770,206,720/583,562,137
  6. Step 6: Final answer
    x = 2,810,478,987.21

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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.