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Finding the Third Proportional to 829,866 and 1,690,185

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Solution

The third proportional to 829,866 and 1,690,185 is: 3,442,393.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,866 : 1,690,185 = 1,690,185 : x
  2. Step 2: Convert to fraction form
    829,866/1,690,185 = 1,690,185/x
  3. Step 3: Cross multiply
    829,866x = 1,690,185 × 1,690,185
  4. Step 4: Simplify right side
    829,866x = 2,856,725,334,225
  5. Step 5: Solve for x
    x = 2,856,725,334,225/829,866
  6. Step 6: Final answer
    x = 3,442,393.51

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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.