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Finding the Third Proportional to 797,138,600 and 1,122,057,649

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Solution

The third proportional to 797,138,600 and 1,122,057,649 is: 1,579,415,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,138,600 : 1,122,057,649 = 1,122,057,649 : x
  2. Step 2: Convert to fraction form
    797,138,600/1,122,057,649 = 1,122,057,649/x
  3. Step 3: Cross multiply
    797,138,600x = 1,122,057,649 × 1,122,057,649
  4. Step 4: Simplify right side
    797,138,600x = 1,259,013,367,679,407,104
  5. Step 5: Solve for x
    x = 1,259,013,367,679,407,104/797,138,600
  6. Step 6: Final answer
    x = 1,579,415,885.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.