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Finding the Third Proportional to 651,493.13 and 990,522.84

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Solution

The third proportional to 651,493.13 and 990,522.84 is: 1,505,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,493.13 : 990,522.84 = 990,522.84 : x
  2. Step 2: Convert to fraction form
    651,493.13/990,522.84 = 990,522.84/x
  3. Step 3: Cross multiply
    651,493.13x = 990,522.84 × 990,522.84
  4. Step 4: Simplify right side
    651,493.13x = 981,135,503,990.59
  5. Step 5: Solve for x
    x = 981,135,503,990.59/651,493.13
  6. Step 6: Final answer
    x = 1,505,979.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.