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Finding the Third Proportional to 355,376 and 838,922

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Solution

The third proportional to 355,376 and 838,922 is: 1,980,409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,376 : 838,922 = 838,922 : x
  2. Step 2: Convert to fraction form
    355,376/838,922 = 838,922/x
  3. Step 3: Cross multiply
    355,376x = 838,922 × 838,922
  4. Step 4: Simplify right side
    355,376x = 703,790,122,084
  5. Step 5: Solve for x
    x = 703,790,122,084/355,376
  6. Step 6: Final answer
    x = 1,980,409.83

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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.