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Finding the Third Proportional to 1,780,906.88 and 4,199,873

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Solution

The third proportional to 1,780,906.88 and 4,199,873 is: 9,904,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,906.88 : 4,199,873 = 4,199,873 : x
  2. Step 2: Convert to fraction form
    1,780,906.88/4,199,873 = 4,199,873/x
  3. Step 3: Cross multiply
    1,780,906.88x = 4,199,873 × 4,199,873
  4. Step 4: Simplify right side
    1,780,906.88x = 17,638,933,216,129
  5. Step 5: Solve for x
    x = 17,638,933,216,129/1,780,906.88
  6. Step 6: Final answer
    x = 9,904,466.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.