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Finding the Third Proportional to 646,296 and 1,388,544

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Solution

The third proportional to 646,296 and 1,388,544 is: 2,983,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,296 : 1,388,544 = 1,388,544 : x
  2. Step 2: Convert to fraction form
    646,296/1,388,544 = 1,388,544/x
  3. Step 3: Cross multiply
    646,296x = 1,388,544 × 1,388,544
  4. Step 4: Simplify right side
    646,296x = 1,928,054,439,936
  5. Step 5: Solve for x
    x = 1,928,054,439,936/646,296
  6. Step 6: Final answer
    x = 2,983,237.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.