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Finding the Third Proportional to 706,244,793.75 and 1,162,905,921

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Solution

The third proportional to 706,244,793.75 and 1,162,905,921 is: 1,914,846,230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,244,793.75 : 1,162,905,921 = 1,162,905,921 : x
  2. Step 2: Convert to fraction form
    706,244,793.75/1,162,905,921 = 1,162,905,921/x
  3. Step 3: Cross multiply
    706,244,793.75x = 1,162,905,921 × 1,162,905,921
  4. Step 4: Simplify right side
    706,244,793.75x = 1,352,350,181,096,858,368
  5. Step 5: Solve for x
    x = 1,352,350,181,096,858,368/706,244,793.75
  6. Step 6: Final answer
    x = 1,914,846,230.46

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.