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Finding the Third Proportional to 831,595 and 1,787,418

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Solution

The third proportional to 831,595 and 1,787,418 is: 3,841,849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,595 : 1,787,418 = 1,787,418 : x
  2. Step 2: Convert to fraction form
    831,595/1,787,418 = 1,787,418/x
  3. Step 3: Cross multiply
    831,595x = 1,787,418 × 1,787,418
  4. Step 4: Simplify right side
    831,595x = 3,194,863,106,724
  5. Step 5: Solve for x
    x = 3,194,863,106,724/831,595
  6. Step 6: Final answer
    x = 3,841,849.83

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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.