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Finding the Third Proportional to 429,170 and 923,788

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Solution

The third proportional to 429,170 and 923,788 is: 1,988,452.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,170 : 923,788 = 923,788 : x
  2. Step 2: Convert to fraction form
    429,170/923,788 = 923,788/x
  3. Step 3: Cross multiply
    429,170x = 923,788 × 923,788
  4. Step 4: Simplify right side
    429,170x = 853,384,268,944
  5. Step 5: Solve for x
    x = 853,384,268,944/429,170
  6. Step 6: Final answer
    x = 1,988,452.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.