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Finding the Third Proportional to 481,231.13 and 1,045,602.42

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Solution

The third proportional to 481,231.13 and 1,045,602.42 is: 2,271,848.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,231.13 : 1,045,602.42 = 1,045,602.42 : x
  2. Step 2: Convert to fraction form
    481,231.13/1,045,602.42 = 1,045,602.42/x
  3. Step 3: Cross multiply
    481,231.13x = 1,045,602.42 × 1,045,602.42
  4. Step 4: Simplify right side
    481,231.13x = 1,093,284,424,630.87
  5. Step 5: Solve for x
    x = 1,093,284,424,630.87/481,231.13
  6. Step 6: Final answer
    x = 2,271,848.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.