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Finding the Third Proportional to 423,288 and 923,694

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Solution

The third proportional to 423,288 and 923,694 is: 2,015,673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,288 : 923,694 = 923,694 : x
  2. Step 2: Convert to fraction form
    423,288/923,694 = 923,694/x
  3. Step 3: Cross multiply
    423,288x = 923,694 × 923,694
  4. Step 4: Simplify right side
    423,288x = 853,210,605,636
  5. Step 5: Solve for x
    x = 853,210,605,636/423,288
  6. Step 6: Final answer
    x = 2,015,673.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.