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Finding the Third Proportional to 793,286 and 1,628,814

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Solution

The third proportional to 793,286 and 1,628,814 is: 3,344,361.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,286 : 1,628,814 = 1,628,814 : x
  2. Step 2: Convert to fraction form
    793,286/1,628,814 = 1,628,814/x
  3. Step 3: Cross multiply
    793,286x = 1,628,814 × 1,628,814
  4. Step 4: Simplify right side
    793,286x = 2,653,035,046,596
  5. Step 5: Solve for x
    x = 2,653,035,046,596/793,286
  6. Step 6: Final answer
    x = 3,344,361.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.