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Finding the Third Proportional to 852,078 and 1,823,834

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Solution

The third proportional to 852,078 and 1,823,834 is: 3,903,833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,078 : 1,823,834 = 1,823,834 : x
  2. Step 2: Convert to fraction form
    852,078/1,823,834 = 1,823,834/x
  3. Step 3: Cross multiply
    852,078x = 1,823,834 × 1,823,834
  4. Step 4: Simplify right side
    852,078x = 3,326,370,459,556
  5. Step 5: Solve for x
    x = 3,326,370,459,556/852,078
  6. Step 6: Final answer
    x = 3,903,833.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.