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Finding the Third Proportional to 923,174 and 1,919,732

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Solution

The third proportional to 923,174 and 1,919,732 is: 3,992,065.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,174 : 1,919,732 = 1,919,732 : x
  2. Step 2: Convert to fraction form
    923,174/1,919,732 = 1,919,732/x
  3. Step 3: Cross multiply
    923,174x = 1,919,732 × 1,919,732
  4. Step 4: Simplify right side
    923,174x = 3,685,370,951,824
  5. Step 5: Solve for x
    x = 3,685,370,951,824/923,174
  6. Step 6: Final answer
    x = 3,992,065.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.