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Finding the Third Proportional to 952,692 and 1,474,494

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Solution

The third proportional to 952,692 and 1,474,494 is: 2,282,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,692 : 1,474,494 = 1,474,494 : x
  2. Step 2: Convert to fraction form
    952,692/1,474,494 = 1,474,494/x
  3. Step 3: Cross multiply
    952,692x = 1,474,494 × 1,474,494
  4. Step 4: Simplify right side
    952,692x = 2,174,132,556,036
  5. Step 5: Solve for x
    x = 2,174,132,556,036/952,692
  6. Step 6: Final answer
    x = 2,282,093.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.