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Finding the Third Proportional to 831,079 and 1,793,378

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Solution

The third proportional to 831,079 and 1,793,378 is: 3,869,914.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,079 : 1,793,378 = 1,793,378 : x
  2. Step 2: Convert to fraction form
    831,079/1,793,378 = 1,793,378/x
  3. Step 3: Cross multiply
    831,079x = 1,793,378 × 1,793,378
  4. Step 4: Simplify right side
    831,079x = 3,216,204,650,884
  5. Step 5: Solve for x
    x = 3,216,204,650,884/831,079
  6. Step 6: Final answer
    x = 3,869,914.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.