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Finding the Third Proportional to 1,448,703 and 2,860,922.25

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Solution

The third proportional to 1,448,703 and 2,860,922.25 is: 5,649,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,703 : 2,860,922.25 = 2,860,922.25 : x
  2. Step 2: Convert to fraction form
    1,448,703/2,860,922.25 = 2,860,922.25/x
  3. Step 3: Cross multiply
    1,448,703x = 2,860,922.25 × 2,860,922.25
  4. Step 4: Simplify right side
    1,448,703x = 8,184,876,120,545.06
  5. Step 5: Solve for x
    x = 8,184,876,120,545.06/1,448,703
  6. Step 6: Final answer
    x = 5,649,795.80

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.