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Finding the Third Proportional to 729,530 and 1,594,518

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Solution

The third proportional to 729,530 and 1,594,518 is: 3,485,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,530 : 1,594,518 = 1,594,518 : x
  2. Step 2: Convert to fraction form
    729,530/1,594,518 = 1,594,518/x
  3. Step 3: Cross multiply
    729,530x = 1,594,518 × 1,594,518
  4. Step 4: Simplify right side
    729,530x = 2,542,487,652,324
  5. Step 5: Solve for x
    x = 2,542,487,652,324/729,530
  6. Step 6: Final answer
    x = 3,485,103.63

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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.