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Finding the Third Proportional to 1,546,886 and 3,322,273

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Solution

The third proportional to 1,546,886 and 3,322,273 is: 7,135,301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546,886 : 3,322,273 = 3,322,273 : x
  2. Step 2: Convert to fraction form
    1,546,886/3,322,273 = 3,322,273/x
  3. Step 3: Cross multiply
    1,546,886x = 3,322,273 × 3,322,273
  4. Step 4: Simplify right side
    1,546,886x = 11,037,497,886,529
  5. Step 5: Solve for x
    x = 11,037,497,886,529/1,546,886
  6. Step 6: Final answer
    x = 7,135,301.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.