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Finding the Third Proportional to 923,163 and 1,919,712

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Solution

The third proportional to 923,163 and 1,919,712 is: 3,992,029.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,163 : 1,919,712 = 1,919,712 : x
  2. Step 2: Convert to fraction form
    923,163/1,919,712 = 1,919,712/x
  3. Step 3: Cross multiply
    923,163x = 1,919,712 × 1,919,712
  4. Step 4: Simplify right side
    923,163x = 3,685,294,162,944
  5. Step 5: Solve for x
    x = 3,685,294,162,944/923,163
  6. Step 6: Final answer
    x = 3,992,029.75

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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.