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Finding the Third Proportional to 404,384 and 880,120

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Solution

The third proportional to 404,384 and 880,120 is: 1,915,533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,384 : 880,120 = 880,120 : x
  2. Step 2: Convert to fraction form
    404,384/880,120 = 880,120/x
  3. Step 3: Cross multiply
    404,384x = 880,120 × 880,120
  4. Step 4: Simplify right side
    404,384x = 774,611,214,400
  5. Step 5: Solve for x
    x = 774,611,214,400/404,384
  6. Step 6: Final answer
    x = 1,915,533.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.