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Finding the Third Proportional to 1,647,595.69 and 3,587,976

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Solution

The third proportional to 1,647,595.69 and 3,587,976 is: 7,813,550.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647,595.69 : 3,587,976 = 3,587,976 : x
  2. Step 2: Convert to fraction form
    1,647,595.69/3,587,976 = 3,587,976/x
  3. Step 3: Cross multiply
    1,647,595.69x = 3,587,976 × 3,587,976
  4. Step 4: Simplify right side
    1,647,595.69x = 12,873,571,776,576
  5. Step 5: Solve for x
    x = 12,873,571,776,576/1,647,595.69
  6. Step 6: Final answer
    x = 7,813,550.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.