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Finding the Third Proportional to 601,800 and 1,321,680

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Solution

The third proportional to 601,800 and 1,321,680 is: 2,902,688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,800 : 1,321,680 = 1,321,680 : x
  2. Step 2: Convert to fraction form
    601,800/1,321,680 = 1,321,680/x
  3. Step 3: Cross multiply
    601,800x = 1,321,680 × 1,321,680
  4. Step 4: Simplify right side
    601,800x = 1,746,838,022,400
  5. Step 5: Solve for x
    x = 1,746,838,022,400/601,800
  6. Step 6: Final answer
    x = 2,902,688.64

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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.