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Finding the Third Proportional to 859,689 and 1,789,151

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Solution

The third proportional to 859,689 and 1,789,151 is: 3,723,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,689 : 1,789,151 = 1,789,151 : x
  2. Step 2: Convert to fraction form
    859,689/1,789,151 = 1,789,151/x
  3. Step 3: Cross multiply
    859,689x = 1,789,151 × 1,789,151
  4. Step 4: Simplify right side
    859,689x = 3,201,061,300,801
  5. Step 5: Solve for x
    x = 3,201,061,300,801/859,689
  6. Step 6: Final answer
    x = 3,723,510.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.