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Finding the Third Proportional to 978,523.03 and 1,493,083.13

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Solution

The third proportional to 978,523.03 and 1,493,083.13 is: 2,278,226.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,523.03 : 1,493,083.13 = 1,493,083.13 : x
  2. Step 2: Convert to fraction form
    978,523.03/1,493,083.13 = 1,493,083.13/x
  3. Step 3: Cross multiply
    978,523.03x = 1,493,083.13 × 1,493,083.13
  4. Step 4: Simplify right side
    978,523.03x = 2,229,297,218,159.77
  5. Step 5: Solve for x
    x = 2,229,297,218,159.77/978,523.03
  6. Step 6: Final answer
    x = 2,278,226.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.