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Finding the Third Proportional to 601,745 and 1,321,582

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Solution

The third proportional to 601,745 and 1,321,582 is: 2,902,523.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,745 : 1,321,582 = 1,321,582 : x
  2. Step 2: Convert to fraction form
    601,745/1,321,582 = 1,321,582/x
  3. Step 3: Cross multiply
    601,745x = 1,321,582 × 1,321,582
  4. Step 4: Simplify right side
    601,745x = 1,746,578,982,724
  5. Step 5: Solve for x
    x = 1,746,578,982,724/601,745
  6. Step 6: Final answer
    x = 2,902,523.47

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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.