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Finding the Third Proportional to 793,226 and 1,546,600

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Solution

The third proportional to 793,226 and 1,546,600 is: 3,015,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,226 : 1,546,600 = 1,546,600 : x
  2. Step 2: Convert to fraction form
    793,226/1,546,600 = 1,546,600/x
  3. Step 3: Cross multiply
    793,226x = 1,546,600 × 1,546,600
  4. Step 4: Simplify right side
    793,226x = 2,391,971,560,000
  5. Step 5: Solve for x
    x = 2,391,971,560,000/793,226
  6. Step 6: Final answer
    x = 3,015,498.18

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.