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Finding the Third Proportional to 1,429,682.91 and 2,787,528.94

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Solution

The third proportional to 1,429,682.91 and 2,787,528.94 is: 5,434,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,682.91 : 2,787,528.94 = 2,787,528.94 : x
  2. Step 2: Convert to fraction form
    1,429,682.91/2,787,528.94 = 2,787,528.94/x
  3. Step 3: Cross multiply
    1,429,682.91x = 2,787,528.94 × 2,787,528.94
  4. Step 4: Simplify right side
    1,429,682.91x = 7,770,317,577,399.88
  5. Step 5: Solve for x
    x = 7,770,317,577,399.88/1,429,682.91
  6. Step 6: Final answer
    x = 5,434,993.69

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.