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Finding the Third Proportional to 698,449,672 and 1,520,902,256

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Solution

The third proportional to 698,449,672 and 1,520,902,256 is: 3,311,825,840.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,449,672 : 1,520,902,256 = 1,520,902,256 : x
  2. Step 2: Convert to fraction form
    698,449,672/1,520,902,256 = 1,520,902,256/x
  3. Step 3: Cross multiply
    698,449,672x = 1,520,902,256 × 1,520,902,256
  4. Step 4: Simplify right side
    698,449,672x = 2,313,143,672,305,889,280
  5. Step 5: Solve for x
    x = 2,313,143,672,305,889,280/698,449,672
  6. Step 6: Final answer
    x = 3,311,825,840.91

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