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Finding the Third Proportional to 816,928 and 1,777,833

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Solution

The third proportional to 816,928 and 1,777,833 is: 3,868,994.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,928 : 1,777,833 = 1,777,833 : x
  2. Step 2: Convert to fraction form
    816,928/1,777,833 = 1,777,833/x
  3. Step 3: Cross multiply
    816,928x = 1,777,833 × 1,777,833
  4. Step 4: Simplify right side
    816,928x = 3,160,690,175,889
  5. Step 5: Solve for x
    x = 3,160,690,175,889/816,928
  6. Step 6: Final answer
    x = 3,868,994.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.