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Finding the Third Proportional to 851,175.42 and 1,836,815.06

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Solution

The third proportional to 851,175.42 and 1,836,815.06 is: 3,963,800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,175.42 : 1,836,815.06 = 1,836,815.06 : x
  2. Step 2: Convert to fraction form
    851,175.42/1,836,815.06 = 1,836,815.06/x
  3. Step 3: Cross multiply
    851,175.42x = 1,836,815.06 × 1,836,815.06
  4. Step 4: Simplify right side
    851,175.42x = 3,373,889,573,826.88
  5. Step 5: Solve for x
    x = 3,373,889,573,826.88/851,175.42
  6. Step 6: Final answer
    x = 3,963,800.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.