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Finding the Third Proportional to 852,385 and 1,323,401

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Solution

The third proportional to 852,385 and 1,323,401 is: 2,054,693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,385 : 1,323,401 = 1,323,401 : x
  2. Step 2: Convert to fraction form
    852,385/1,323,401 = 1,323,401/x
  3. Step 3: Cross multiply
    852,385x = 1,323,401 × 1,323,401
  4. Step 4: Simplify right side
    852,385x = 1,751,390,206,801
  5. Step 5: Solve for x
    x = 1,751,390,206,801/852,385
  6. Step 6: Final answer
    x = 2,054,693.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.