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Finding the Third Proportional to 947,832 and 1,229,613.75

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Solution

The third proportional to 947,832 and 1,229,613.75 is: 1,595,166.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,832 : 1,229,613.75 = 1,229,613.75 : x
  2. Step 2: Convert to fraction form
    947,832/1,229,613.75 = 1,229,613.75/x
  3. Step 3: Cross multiply
    947,832x = 1,229,613.75 × 1,229,613.75
  4. Step 4: Simplify right side
    947,832x = 1,511,949,974,189.06
  5. Step 5: Solve for x
    x = 1,511,949,974,189.06/947,832
  6. Step 6: Final answer
    x = 1,595,166.63

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.