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Finding the Third Proportional to 447,606 and 915,894

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Solution

The third proportional to 447,606 and 915,894 is: 1,874,107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,606 : 915,894 = 915,894 : x
  2. Step 2: Convert to fraction form
    447,606/915,894 = 915,894/x
  3. Step 3: Cross multiply
    447,606x = 915,894 × 915,894
  4. Step 4: Simplify right side
    447,606x = 838,861,819,236
  5. Step 5: Solve for x
    x = 838,861,819,236/447,606
  6. Step 6: Final answer
    x = 1,874,107.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.