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Finding the Third Proportional to 794,784 and 1,722,168

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Solution

The third proportional to 794,784 and 1,722,168 is: 3,731,658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,784 : 1,722,168 = 1,722,168 : x
  2. Step 2: Convert to fraction form
    794,784/1,722,168 = 1,722,168/x
  3. Step 3: Cross multiply
    794,784x = 1,722,168 × 1,722,168
  4. Step 4: Simplify right side
    794,784x = 2,965,862,620,224
  5. Step 5: Solve for x
    x = 2,965,862,620,224/794,784
  6. Step 6: Final answer
    x = 3,731,658.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.