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Finding the Third Proportional to 829,872 and 1,690,197

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Solution

The third proportional to 829,872 and 1,690,197 is: 3,442,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,872 : 1,690,197 = 1,690,197 : x
  2. Step 2: Convert to fraction form
    829,872/1,690,197 = 1,690,197/x
  3. Step 3: Cross multiply
    829,872x = 1,690,197 × 1,690,197
  4. Step 4: Simplify right side
    829,872x = 2,856,765,898,809
  5. Step 5: Solve for x
    x = 2,856,765,898,809/829,872
  6. Step 6: Final answer
    x = 3,442,417.50

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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.