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Finding the Third Proportional to 829,796 and 1,690,028

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Solution

The third proportional to 829,796 and 1,690,028 is: 3,442,044.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,796 : 1,690,028 = 1,690,028 : x
  2. Step 2: Convert to fraction form
    829,796/1,690,028 = 1,690,028/x
  3. Step 3: Cross multiply
    829,796x = 1,690,028 × 1,690,028
  4. Step 4: Simplify right side
    829,796x = 2,856,194,640,784
  5. Step 5: Solve for x
    x = 2,856,194,640,784/829,796
  6. Step 6: Final answer
    x = 3,442,044.36

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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.