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Finding the Third Proportional to 395,838 and 933,489

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Solution

The third proportional to 395,838 and 933,489 is: 2,201,409.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,838 : 933,489 = 933,489 : x
  2. Step 2: Convert to fraction form
    395,838/933,489 = 933,489/x
  3. Step 3: Cross multiply
    395,838x = 933,489 × 933,489
  4. Step 4: Simplify right side
    395,838x = 871,401,713,121
  5. Step 5: Solve for x
    x = 871,401,713,121/395,838
  6. Step 6: Final answer
    x = 2,201,409.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.