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Finding the Third Proportional to 1,825,576 and 4,070,912

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Solution

The third proportional to 1,825,576 and 4,070,912 is: 9,077,860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825,576 : 4,070,912 = 4,070,912 : x
  2. Step 2: Convert to fraction form
    1,825,576/4,070,912 = 4,070,912/x
  3. Step 3: Cross multiply
    1,825,576x = 4,070,912 × 4,070,912
  4. Step 4: Simplify right side
    1,825,576x = 16,572,324,511,744
  5. Step 5: Solve for x
    x = 16,572,324,511,744/1,825,576
  6. Step 6: Final answer
    x = 9,077,860.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.