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Finding the Third Proportional to 698,380,392 and 971,042,112

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Solution

The third proportional to 698,380,392 and 971,042,112 is: 1,350,156,439.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,380,392 : 971,042,112 = 971,042,112 : x
  2. Step 2: Convert to fraction form
    698,380,392/971,042,112 = 971,042,112/x
  3. Step 3: Cross multiply
    698,380,392x = 971,042,112 × 971,042,112
  4. Step 4: Simplify right side
    698,380,392x = 942,922,783,277,420,544
  5. Step 5: Solve for x
    x = 942,922,783,277,420,544/698,380,392
  6. Step 6: Final answer
    x = 1,350,156,439.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.