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Finding the Third Proportional to 1,805,163.38 and 3,964,641

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Solution

The third proportional to 1,805,163.38 and 3,964,641 is: 8,707,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805,163.38 : 3,964,641 = 3,964,641 : x
  2. Step 2: Convert to fraction form
    1,805,163.38/3,964,641 = 3,964,641/x
  3. Step 3: Cross multiply
    1,805,163.38x = 3,964,641 × 3,964,641
  4. Step 4: Simplify right side
    1,805,163.38x = 15,718,378,258,881
  5. Step 5: Solve for x
    x = 15,718,378,258,881/1,805,163.38
  6. Step 6: Final answer
    x = 8,707,454.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.