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Finding the Third Proportional to 698,449,674 and 1,520,902,260

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Solution

The third proportional to 698,449,674 and 1,520,902,260 is: 3,311,825,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,449,674 : 1,520,902,260 = 1,520,902,260 : x
  2. Step 2: Convert to fraction form
    698,449,674/1,520,902,260 = 1,520,902,260/x
  3. Step 3: Cross multiply
    698,449,674x = 1,520,902,260 × 1,520,902,260
  4. Step 4: Simplify right side
    698,449,674x = 2,313,143,684,473,107,456
  5. Step 5: Solve for x
    x = 2,313,143,684,473,107,456/698,449,674
  6. Step 6: Final answer
    x = 3,311,825,848.85

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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.