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Finding the Third Proportional to 455,889.94 and 992,049.19

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Solution

The third proportional to 455,889.94 and 992,049.19 is: 2,158,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,889.94 : 992,049.19 = 992,049.19 : x
  2. Step 2: Convert to fraction form
    455,889.94/992,049.19 = 992,049.19/x
  3. Step 3: Cross multiply
    455,889.94x = 992,049.19 × 992,049.19
  4. Step 4: Simplify right side
    455,889.94x = 984,161,590,419.41
  5. Step 5: Solve for x
    x = 984,161,590,419.41/455,889.94
  6. Step 6: Final answer
    x = 2,158,770.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.