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Finding the Third Proportional to 423,082 and 923,336

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Solution

The third proportional to 423,082 and 923,336 is: 2,015,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,082 : 923,336 = 923,336 : x
  2. Step 2: Convert to fraction form
    423,082/923,336 = 923,336/x
  3. Step 3: Cross multiply
    423,082x = 923,336 × 923,336
  4. Step 4: Simplify right side
    423,082x = 852,549,368,896
  5. Step 5: Solve for x
    x = 852,549,368,896/423,082
  6. Step 6: Final answer
    x = 2,015,092.51

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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.