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Finding the Third Proportional to 818,016 and 1,910,520

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Solution

The third proportional to 818,016 and 1,910,520 is: 4,462,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,016 : 1,910,520 = 1,910,520 : x
  2. Step 2: Convert to fraction form
    818,016/1,910,520 = 1,910,520/x
  3. Step 3: Cross multiply
    818,016x = 1,910,520 × 1,910,520
  4. Step 4: Simplify right side
    818,016x = 3,650,086,670,400
  5. Step 5: Solve for x
    x = 3,650,086,670,400/818,016
  6. Step 6: Final answer
    x = 4,462,121.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.