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Finding the Third Proportional to 806,503,291 and 1,245,571,846

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Solution

The third proportional to 806,503,291 and 1,245,571,846 is: 1,923,673,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,503,291 : 1,245,571,846 = 1,245,571,846 : x
  2. Step 2: Convert to fraction form
    806,503,291/1,245,571,846 = 1,245,571,846/x
  3. Step 3: Cross multiply
    806,503,291x = 1,245,571,846 × 1,245,571,846
  4. Step 4: Simplify right side
    806,503,291x = 1,551,449,223,547,847,680
  5. Step 5: Solve for x
    x = 1,551,449,223,547,847,680/806,503,291
  6. Step 6: Final answer
    x = 1,923,673,766.57

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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.