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Finding the Third Proportional to 834,414 and 1,794,573

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Solution

The third proportional to 834,414 and 1,794,573 is: 3,859,585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,414 : 1,794,573 = 1,794,573 : x
  2. Step 2: Convert to fraction form
    834,414/1,794,573 = 1,794,573/x
  3. Step 3: Cross multiply
    834,414x = 1,794,573 × 1,794,573
  4. Step 4: Simplify right side
    834,414x = 3,220,492,252,329
  5. Step 5: Solve for x
    x = 3,220,492,252,329/834,414
  6. Step 6: Final answer
    x = 3,859,585.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.