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Finding the Third Proportional to 669,295 and 1,383,596

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Solution

The third proportional to 669,295 and 1,383,596 is: 2,860,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,295 : 1,383,596 = 1,383,596 : x
  2. Step 2: Convert to fraction form
    669,295/1,383,596 = 1,383,596/x
  3. Step 3: Cross multiply
    669,295x = 1,383,596 × 1,383,596
  4. Step 4: Simplify right side
    669,295x = 1,914,337,891,216
  5. Step 5: Solve for x
    x = 1,914,337,891,216/669,295
  6. Step 6: Final answer
    x = 2,860,230.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.