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Finding the Third Proportional to 819,722,844 and 1,267,888,860

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Solution

The third proportional to 819,722,844 and 1,267,888,860 is: 1,961,080,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,722,844 : 1,267,888,860 = 1,267,888,860 : x
  2. Step 2: Convert to fraction form
    819,722,844/1,267,888,860 = 1,267,888,860/x
  3. Step 3: Cross multiply
    819,722,844x = 1,267,888,860 × 1,267,888,860
  4. Step 4: Simplify right side
    819,722,844x = 1,607,542,161,312,099,584
  5. Step 5: Solve for x
    x = 1,607,542,161,312,099,584/819,722,844
  6. Step 6: Final answer
    x = 1,961,080,105.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.