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Finding the Third Proportional to 729,528.19 and 1,594,513.69

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Solution

The third proportional to 729,528.19 and 1,594,513.69 is: 3,485,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,528.19 : 1,594,513.69 = 1,594,513.69 : x
  2. Step 2: Convert to fraction form
    729,528.19/1,594,513.69 = 1,594,513.69/x
  3. Step 3: Cross multiply
    729,528.19x = 1,594,513.69 × 1,594,513.69
  4. Step 4: Simplify right side
    729,528.19x = 2,542,473,899,624.85
  5. Step 5: Solve for x
    x = 2,542,473,899,624.85/729,528.19
  6. Step 6: Final answer
    x = 3,485,093.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.