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Finding the Third Proportional to 403,786 and 874,456

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Solution

The third proportional to 403,786 and 874,456 is: 1,893,758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,786 : 874,456 = 874,456 : x
  2. Step 2: Convert to fraction form
    403,786/874,456 = 874,456/x
  3. Step 3: Cross multiply
    403,786x = 874,456 × 874,456
  4. Step 4: Simplify right side
    403,786x = 764,673,295,936
  5. Step 5: Solve for x
    x = 764,673,295,936/403,786
  6. Step 6: Final answer
    x = 1,893,758.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.