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Finding the Third Proportional to 906,288,759 and 1,399,468,455

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Solution

The third proportional to 906,288,759 and 1,399,468,455 is: 2,161,024,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,288,759 : 1,399,468,455 = 1,399,468,455 : x
  2. Step 2: Convert to fraction form
    906,288,759/1,399,468,455 = 1,399,468,455/x
  3. Step 3: Cross multiply
    906,288,759x = 1,399,468,455 × 1,399,468,455
  4. Step 4: Simplify right side
    906,288,759x = 1,958,511,956,540,087,040
  5. Step 5: Solve for x
    x = 1,958,511,956,540,087,040/906,288,759
  6. Step 6: Final answer
    x = 2,161,024,217.82

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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.