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Finding the Third Proportional to 1,830,786 and 3,987,042

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Solution

The third proportional to 1,830,786 and 3,987,042 is: 8,682,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830,786 : 3,987,042 = 3,987,042 : x
  2. Step 2: Convert to fraction form
    1,830,786/3,987,042 = 3,987,042/x
  3. Step 3: Cross multiply
    1,830,786x = 3,987,042 × 3,987,042
  4. Step 4: Simplify right side
    1,830,786x = 15,896,503,909,764
  5. Step 5: Solve for x
    x = 15,896,503,909,764/1,830,786
  6. Step 6: Final answer
    x = 8,682,884.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.