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Finding the Third Proportional to 1,043,266 and 2,198,615

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Solution

The third proportional to 1,043,266 and 2,198,615 is: 4,633,437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,266 : 2,198,615 = 2,198,615 : x
  2. Step 2: Convert to fraction form
    1,043,266/2,198,615 = 2,198,615/x
  3. Step 3: Cross multiply
    1,043,266x = 2,198,615 × 2,198,615
  4. Step 4: Simplify right side
    1,043,266x = 4,833,907,918,225
  5. Step 5: Solve for x
    x = 4,833,907,918,225/1,043,266
  6. Step 6: Final answer
    x = 4,633,437.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.