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Finding the Third Proportional to 1,018,583.86 and 2,120,843.25

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Solution

The third proportional to 1,018,583.86 and 2,120,843.25 is: 4,415,911.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,583.86 : 2,120,843.25 = 2,120,843.25 : x
  2. Step 2: Convert to fraction form
    1,018,583.86/2,120,843.25 = 2,120,843.25/x
  3. Step 3: Cross multiply
    1,018,583.86x = 2,120,843.25 × 2,120,843.25
  4. Step 4: Simplify right side
    1,018,583.86x = 4,497,976,091,070.56
  5. Step 5: Solve for x
    x = 4,497,976,091,070.56/1,018,583.86
  6. Step 6: Final answer
    x = 4,415,911.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.