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Finding the Third Proportional to 1,891,544 and 4,150,576

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Solution

The third proportional to 1,891,544 and 4,150,576 is: 9,107,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891,544 : 4,150,576 = 4,150,576 : x
  2. Step 2: Convert to fraction form
    1,891,544/4,150,576 = 4,150,576/x
  3. Step 3: Cross multiply
    1,891,544x = 4,150,576 × 4,150,576
  4. Step 4: Simplify right side
    1,891,544x = 17,227,281,131,776
  5. Step 5: Solve for x
    x = 17,227,281,131,776/1,891,544
  6. Step 6: Final answer
    x = 9,107,523.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.