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Finding the Third Proportional to 408,903 and 880,014

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Solution

The third proportional to 408,903 and 880,014 is: 1,893,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,903 : 880,014 = 880,014 : x
  2. Step 2: Convert to fraction form
    408,903/880,014 = 880,014/x
  3. Step 3: Cross multiply
    408,903x = 880,014 × 880,014
  4. Step 4: Simplify right side
    408,903x = 774,424,640,196
  5. Step 5: Solve for x
    x = 774,424,640,196/408,903
  6. Step 6: Final answer
    x = 1,893,907.94

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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.