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Finding the Third Proportional to 806,503,293 and 1,245,571,849

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Solution

The third proportional to 806,503,293 and 1,245,571,849 is: 1,923,673,771.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,503,293 : 1,245,571,849 = 1,245,571,849 : x
  2. Step 2: Convert to fraction form
    806,503,293/1,245,571,849 = 1,245,571,849/x
  3. Step 3: Cross multiply
    806,503,293x = 1,245,571,849 × 1,245,571,849
  4. Step 4: Simplify right side
    806,503,293x = 1,551,449,231,021,278,720
  5. Step 5: Solve for x
    x = 1,551,449,231,021,278,720/806,503,293
  6. Step 6: Final answer
    x = 1,923,673,771.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.