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Finding the Third Proportional to 728,404 and 1,142,652

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Solution

The third proportional to 728,404 and 1,142,652 is: 1,792,485.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,404 : 1,142,652 = 1,142,652 : x
  2. Step 2: Convert to fraction form
    728,404/1,142,652 = 1,142,652/x
  3. Step 3: Cross multiply
    728,404x = 1,142,652 × 1,142,652
  4. Step 4: Simplify right side
    728,404x = 1,305,653,593,104
  5. Step 5: Solve for x
    x = 1,305,653,593,104/728,404
  6. Step 6: Final answer
    x = 1,792,485.48

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.