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Finding the Third Proportional to 806,503,286.25 and 1,245,571,840.13

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Solution

The third proportional to 806,503,286.25 and 1,245,571,840.13 is: 1,923,673,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,503,286.25 : 1,245,571,840.13 = 1,245,571,840.13 : x
  2. Step 2: Convert to fraction form
    806,503,286.25/1,245,571,840.13 = 1,245,571,840.13/x
  3. Step 3: Cross multiply
    806,503,286.25x = 1,245,571,840.13 × 1,245,571,840.13
  4. Step 4: Simplify right side
    806,503,286.25x = 1,551,449,208,912,378,624
  5. Step 5: Solve for x
    x = 1,551,449,208,912,378,624/806,503,286.25
  6. Step 6: Final answer
    x = 1,923,673,759.75

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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.