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Finding the Third Proportional to 408,907 and 880,022

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Solution

The third proportional to 408,907 and 880,022 is: 1,893,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,907 : 880,022 = 880,022 : x
  2. Step 2: Convert to fraction form
    408,907/880,022 = 880,022/x
  3. Step 3: Cross multiply
    408,907x = 880,022 × 880,022
  4. Step 4: Simplify right side
    408,907x = 774,438,720,484
  5. Step 5: Solve for x
    x = 774,438,720,484/408,907
  6. Step 6: Final answer
    x = 1,893,923.85

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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.