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Finding the Third Proportional to 1,822,181.06 and 3,987,584.44

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Solution

The third proportional to 1,822,181.06 and 3,987,584.44 is: 8,726,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822,181.06 : 3,987,584.44 = 3,987,584.44 : x
  2. Step 2: Convert to fraction form
    1,822,181.06/3,987,584.44 = 3,987,584.44/x
  3. Step 3: Cross multiply
    1,822,181.06x = 3,987,584.44 × 3,987,584.44
  4. Step 4: Simplify right side
    1,822,181.06x = 15,900,829,646,192.19
  5. Step 5: Solve for x
    x = 15,900,829,646,192.19/1,822,181.06
  6. Step 6: Final answer
    x = 8,726,262.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.