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Finding the Third Proportional to 829,814 and 1,690,059

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Solution

The third proportional to 829,814 and 1,690,059 is: 3,442,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,814 : 1,690,059 = 1,690,059 : x
  2. Step 2: Convert to fraction form
    829,814/1,690,059 = 1,690,059/x
  3. Step 3: Cross multiply
    829,814x = 1,690,059 × 1,690,059
  4. Step 4: Simplify right side
    829,814x = 2,856,299,423,481
  5. Step 5: Solve for x
    x = 2,856,299,423,481/829,814
  6. Step 6: Final answer
    x = 3,442,095.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.