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Finding the Third Proportional to 826,786 and 1,240,170

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Solution

The third proportional to 826,786 and 1,240,170 is: 1,860,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,786 : 1,240,170 = 1,240,170 : x
  2. Step 2: Convert to fraction form
    826,786/1,240,170 = 1,240,170/x
  3. Step 3: Cross multiply
    826,786x = 1,240,170 × 1,240,170
  4. Step 4: Simplify right side
    826,786x = 1,538,021,628,900
  5. Step 5: Solve for x
    x = 1,538,021,628,900/826,786
  6. Step 6: Final answer
    x = 1,860,241.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.