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Finding the Third Proportional to 1,493,760 and 2,296,016

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Solution

The third proportional to 1,493,760 and 2,296,016 is: 3,529,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493,760 : 2,296,016 = 2,296,016 : x
  2. Step 2: Convert to fraction form
    1,493,760/2,296,016 = 2,296,016/x
  3. Step 3: Cross multiply
    1,493,760x = 2,296,016 × 2,296,016
  4. Step 4: Simplify right side
    1,493,760x = 5,271,689,472,256
  5. Step 5: Solve for x
    x = 5,271,689,472,256/1,493,760
  6. Step 6: Final answer
    x = 3,529,140.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.