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Finding the Third Proportional to 496,436,122 and 799,890,837

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Solution

The third proportional to 496,436,122 and 799,890,837 is: 1,288,837,219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,436,122 : 799,890,837 = 799,890,837 : x
  2. Step 2: Convert to fraction form
    496,436,122/799,890,837 = 799,890,837/x
  3. Step 3: Cross multiply
    496,436,122x = 799,890,837 × 799,890,837
  4. Step 4: Simplify right side
    496,436,122x = 639,825,351,116,560,512
  5. Step 5: Solve for x
    x = 639,825,351,116,560,512/496,436,122
  6. Step 6: Final answer
    x = 1,288,837,219.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.