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Finding the Third Proportional to 831,286 and 1,786,894

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Solution

The third proportional to 831,286 and 1,786,894 is: 3,841,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,286 : 1,786,894 = 1,786,894 : x
  2. Step 2: Convert to fraction form
    831,286/1,786,894 = 1,786,894/x
  3. Step 3: Cross multiply
    831,286x = 1,786,894 × 1,786,894
  4. Step 4: Simplify right side
    831,286x = 3,192,990,167,236
  5. Step 5: Solve for x
    x = 3,192,990,167,236/831,286
  6. Step 6: Final answer
    x = 3,841,024.83

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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.