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Finding the Third Proportional to 279,401,803 and 587,763,861

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Solution

The third proportional to 279,401,803 and 587,763,861 is: 1,236,449,989.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,401,803 : 587,763,861 = 587,763,861 : x
  2. Step 2: Convert to fraction form
    279,401,803/587,763,861 = 587,763,861/x
  3. Step 3: Cross multiply
    279,401,803x = 587,763,861 × 587,763,861
  4. Step 4: Simplify right side
    279,401,803x = 345,466,356,297,627,328
  5. Step 5: Solve for x
    x = 345,466,356,297,627,328/279,401,803
  6. Step 6: Final answer
    x = 1,236,449,989.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.