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Finding the Third Proportional to 1,493,762 and 2,296,019

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Solution

The third proportional to 1,493,762 and 2,296,019 is: 3,529,145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493,762 : 2,296,019 = 2,296,019 : x
  2. Step 2: Convert to fraction form
    1,493,762/2,296,019 = 2,296,019/x
  3. Step 3: Cross multiply
    1,493,762x = 2,296,019 × 2,296,019
  4. Step 4: Simplify right side
    1,493,762x = 5,271,703,248,361
  5. Step 5: Solve for x
    x = 5,271,703,248,361/1,493,762
  6. Step 6: Final answer
    x = 3,529,145.37

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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.