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Finding the Third Proportional to 1,764,634 and 2,639,904

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Solution

The third proportional to 1,764,634 and 2,639,904 is: 3,949,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764,634 : 2,639,904 = 2,639,904 : x
  2. Step 2: Convert to fraction form
    1,764,634/2,639,904 = 2,639,904/x
  3. Step 3: Cross multiply
    1,764,634x = 2,639,904 × 2,639,904
  4. Step 4: Simplify right side
    1,764,634x = 6,969,093,129,216
  5. Step 5: Solve for x
    x = 6,969,093,129,216/1,764,634
  6. Step 6: Final answer
    x = 3,949,313.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.