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Finding the Third Proportional to 790,827 and 1,637,727

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Solution

The third proportional to 790,827 and 1,637,727 is: 3,391,575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,827 : 1,637,727 = 1,637,727 : x
  2. Step 2: Convert to fraction form
    790,827/1,637,727 = 1,637,727/x
  3. Step 3: Cross multiply
    790,827x = 1,637,727 × 1,637,727
  4. Step 4: Simplify right side
    790,827x = 2,682,149,726,529
  5. Step 5: Solve for x
    x = 2,682,149,726,529/790,827
  6. Step 6: Final answer
    x = 3,391,575.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.