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Finding the Third Proportional to 729,172 and 1,601,768

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Solution

The third proportional to 729,172 and 1,601,768 is: 3,518,594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,172 : 1,601,768 = 1,601,768 : x
  2. Step 2: Convert to fraction form
    729,172/1,601,768 = 1,601,768/x
  3. Step 3: Cross multiply
    729,172x = 1,601,768 × 1,601,768
  4. Step 4: Simplify right side
    729,172x = 2,565,660,725,824
  5. Step 5: Solve for x
    x = 2,565,660,725,824/729,172
  6. Step 6: Final answer
    x = 3,518,594.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.