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Finding the Third Proportional to 771,704 and 1,602,544

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Solution

The third proportional to 771,704 and 1,602,544 is: 3,327,891.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,704 : 1,602,544 = 1,602,544 : x
  2. Step 2: Convert to fraction form
    771,704/1,602,544 = 1,602,544/x
  3. Step 3: Cross multiply
    771,704x = 1,602,544 × 1,602,544
  4. Step 4: Simplify right side
    771,704x = 2,568,147,271,936
  5. Step 5: Solve for x
    x = 2,568,147,271,936/771,704
  6. Step 6: Final answer
    x = 3,327,891.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.