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Finding the Third Proportional to 375,891 and 782,886

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Solution

The third proportional to 375,891 and 782,886 is: 1,630,553.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,891 : 782,886 = 782,886 : x
  2. Step 2: Convert to fraction form
    375,891/782,886 = 782,886/x
  3. Step 3: Cross multiply
    375,891x = 782,886 × 782,886
  4. Step 4: Simplify right side
    375,891x = 612,910,488,996
  5. Step 5: Solve for x
    x = 612,910,488,996/375,891
  6. Step 6: Final answer
    x = 1,630,553.77

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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.