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Finding the Third Proportional to 355,596 and 839,417

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Solution

The third proportional to 355,596 and 839,417 is: 1,981,520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,596 : 839,417 = 839,417 : x
  2. Step 2: Convert to fraction form
    355,596/839,417 = 839,417/x
  3. Step 3: Cross multiply
    355,596x = 839,417 × 839,417
  4. Step 4: Simplify right side
    355,596x = 704,620,899,889
  5. Step 5: Solve for x
    x = 704,620,899,889/355,596
  6. Step 6: Final answer
    x = 1,981,520.88

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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.