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Finding the Third Proportional to 275,621,589 and 601,315,407

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Solution

The third proportional to 275,621,589 and 601,315,407 is: 1,311,871,903.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,621,589 : 601,315,407 = 601,315,407 : x
  2. Step 2: Convert to fraction form
    275,621,589/601,315,407 = 601,315,407/x
  3. Step 3: Cross multiply
    275,621,589x = 601,315,407 × 601,315,407
  4. Step 4: Simplify right side
    275,621,589x = 361,580,218,695,575,680
  5. Step 5: Solve for x
    x = 361,580,218,695,575,680/275,621,589
  6. Step 6: Final answer
    x = 1,311,871,903.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.