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Finding the Third Proportional to 1,493,364 and 2,296,716

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Solution

The third proportional to 1,493,364 and 2,296,716 is: 3,532,229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493,364 : 2,296,716 = 2,296,716 : x
  2. Step 2: Convert to fraction form
    1,493,364/2,296,716 = 2,296,716/x
  3. Step 3: Cross multiply
    1,493,364x = 2,296,716 × 2,296,716
  4. Step 4: Simplify right side
    1,493,364x = 5,274,904,384,656
  5. Step 5: Solve for x
    x = 5,274,904,384,656/1,493,364
  6. Step 6: Final answer
    x = 3,532,229.51

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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.