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Finding the Third Proportional to 2,893,846 and 4,257,137

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Solution

The third proportional to 2,893,846 and 4,257,137 is: 6,262,674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893,846 : 4,257,137 = 4,257,137 : x
  2. Step 2: Convert to fraction form
    2,893,846/4,257,137 = 4,257,137/x
  3. Step 3: Cross multiply
    2,893,846x = 4,257,137 × 4,257,137
  4. Step 4: Simplify right side
    2,893,846x = 18,123,215,436,769
  5. Step 5: Solve for x
    x = 18,123,215,436,769/2,893,846
  6. Step 6: Final answer
    x = 6,262,674.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.