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Finding the Third Proportional to 512,872.88 and 1,116,050.63

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Solution

The third proportional to 512,872.88 and 1,116,050.63 is: 2,428,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,872.88 : 1,116,050.63 = 1,116,050.63 : x
  2. Step 2: Convert to fraction form
    512,872.88/1,116,050.63 = 1,116,050.63/x
  3. Step 3: Cross multiply
    512,872.88x = 1,116,050.63 × 1,116,050.63
  4. Step 4: Simplify right side
    512,872.88x = 1,245,568,997,562.89
  5. Step 5: Solve for x
    x = 1,245,568,997,562.89/512,872.88
  6. Step 6: Final answer
    x = 2,428,611.57

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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.