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Finding the Third Proportional to 437,738 and 905,806

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Solution

The third proportional to 437,738 and 905,806 is: 1,874,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,738 : 905,806 = 905,806 : x
  2. Step 2: Convert to fraction form
    437,738/905,806 = 905,806/x
  3. Step 3: Cross multiply
    437,738x = 905,806 × 905,806
  4. Step 4: Simplify right side
    437,738x = 820,484,509,636
  5. Step 5: Solve for x
    x = 820,484,509,636/437,738
  6. Step 6: Final answer
    x = 1,874,373.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.