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Finding the Third Proportional to 923,167 and 1,919,720

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Solution

The third proportional to 923,167 and 1,919,720 is: 3,992,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,167 : 1,919,720 = 1,919,720 : x
  2. Step 2: Convert to fraction form
    923,167/1,919,720 = 1,919,720/x
  3. Step 3: Cross multiply
    923,167x = 1,919,720 × 1,919,720
  4. Step 4: Simplify right side
    923,167x = 3,685,324,878,400
  5. Step 5: Solve for x
    x = 3,685,324,878,400/923,167
  6. Step 6: Final answer
    x = 3,992,045.73

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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.