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Finding the Third Proportional to 1,830,576.75 and 3,936,648

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Solution

The third proportional to 1,830,576.75 and 3,936,648 is: 8,465,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830,576.75 : 3,936,648 = 3,936,648 : x
  2. Step 2: Convert to fraction form
    1,830,576.75/3,936,648 = 3,936,648/x
  3. Step 3: Cross multiply
    1,830,576.75x = 3,936,648 × 3,936,648
  4. Step 4: Simplify right side
    1,830,576.75x = 15,497,197,475,904
  5. Step 5: Solve for x
    x = 15,497,197,475,904/1,830,576.75
  6. Step 6: Final answer
    x = 8,465,745.82

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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.