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Finding the Third Proportional to 952,458 and 1,297,071

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Solution

The third proportional to 952,458 and 1,297,071 is: 1,766,369.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,458 : 1,297,071 = 1,297,071 : x
  2. Step 2: Convert to fraction form
    952,458/1,297,071 = 1,297,071/x
  3. Step 3: Cross multiply
    952,458x = 1,297,071 × 1,297,071
  4. Step 4: Simplify right side
    952,458x = 1,682,393,179,041
  5. Step 5: Solve for x
    x = 1,682,393,179,041/952,458
  6. Step 6: Final answer
    x = 1,766,369.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.