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Finding the Third Proportional to 375,886 and 782,870

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Solution

The third proportional to 375,886 and 782,870 is: 1,630,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,886 : 782,870 = 782,870 : x
  2. Step 2: Convert to fraction form
    375,886/782,870 = 782,870/x
  3. Step 3: Cross multiply
    375,886x = 782,870 × 782,870
  4. Step 4: Simplify right side
    375,886x = 612,885,436,900
  5. Step 5: Solve for x
    x = 612,885,436,900/375,886
  6. Step 6: Final answer
    x = 1,630,508.82

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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.