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Finding the Third Proportional to 818,689 and 1,761,794

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Solution

The third proportional to 818,689 and 1,761,794 is: 3,791,327.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,689 : 1,761,794 = 1,761,794 : x
  2. Step 2: Convert to fraction form
    818,689/1,761,794 = 1,761,794/x
  3. Step 3: Cross multiply
    818,689x = 1,761,794 × 1,761,794
  4. Step 4: Simplify right side
    818,689x = 3,103,918,098,436
  5. Step 5: Solve for x
    x = 3,103,918,098,436/818,689
  6. Step 6: Final answer
    x = 3,791,327.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.