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Finding the Third Proportional to 544,283,546 and 840,491,067

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Solution

The third proportional to 544,283,546 and 840,491,067 is: 1,297,899,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,283,546 : 840,491,067 = 840,491,067 : x
  2. Step 2: Convert to fraction form
    544,283,546/840,491,067 = 840,491,067/x
  3. Step 3: Cross multiply
    544,283,546x = 840,491,067 × 840,491,067
  4. Step 4: Simplify right side
    544,283,546x = 706,425,233,706,798,464
  5. Step 5: Solve for x
    x = 706,425,233,706,798,464/544,283,546
  6. Step 6: Final answer
    x = 1,297,899,300.65

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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.