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Finding the Third Proportional to 1,863,084 and 3,991,767

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Solution

The third proportional to 1,863,084 and 3,991,767 is: 8,552,595.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863,084 : 3,991,767 = 3,991,767 : x
  2. Step 2: Convert to fraction form
    1,863,084/3,991,767 = 3,991,767/x
  3. Step 3: Cross multiply
    1,863,084x = 3,991,767 × 3,991,767
  4. Step 4: Simplify right side
    1,863,084x = 15,934,203,782,289
  5. Step 5: Solve for x
    x = 15,934,203,782,289/1,863,084
  6. Step 6: Final answer
    x = 8,552,595.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.