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Finding the Third Proportional to 852,009 and 1,823,703

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Solution

The third proportional to 852,009 and 1,823,703 is: 3,903,588.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,009 : 1,823,703 = 1,823,703 : x
  2. Step 2: Convert to fraction form
    852,009/1,823,703 = 1,823,703/x
  3. Step 3: Cross multiply
    852,009x = 1,823,703 × 1,823,703
  4. Step 4: Simplify right side
    852,009x = 3,325,892,632,209
  5. Step 5: Solve for x
    x = 3,325,892,632,209/852,009
  6. Step 6: Final answer
    x = 3,903,588.61

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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.