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Finding the Third Proportional to 829,810 and 1,690,051

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Solution

The third proportional to 829,810 and 1,690,051 is: 3,442,079.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,810 : 1,690,051 = 1,690,051 : x
  2. Step 2: Convert to fraction form
    829,810/1,690,051 = 1,690,051/x
  3. Step 3: Cross multiply
    829,810x = 1,690,051 × 1,690,051
  4. Step 4: Simplify right side
    829,810x = 2,856,272,382,601
  5. Step 5: Solve for x
    x = 2,856,272,382,601/829,810
  6. Step 6: Final answer
    x = 3,442,079.97

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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.