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Finding the Third Proportional to 892,865.25 and 1,874,178

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Solution

The third proportional to 892,865.25 and 1,874,178 is: 3,934,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,865.25 : 1,874,178 = 1,874,178 : x
  2. Step 2: Convert to fraction form
    892,865.25/1,874,178 = 1,874,178/x
  3. Step 3: Cross multiply
    892,865.25x = 1,874,178 × 1,874,178
  4. Step 4: Simplify right side
    892,865.25x = 3,512,543,175,684
  5. Step 5: Solve for x
    x = 3,512,543,175,684/892,865.25
  6. Step 6: Final answer
    x = 3,934,012.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.