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Finding the Third Proportional to 408,104 and 881,784

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Solution

The third proportional to 408,104 and 881,784 is: 1,905,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,104 : 881,784 = 881,784 : x
  2. Step 2: Convert to fraction form
    408,104/881,784 = 881,784/x
  3. Step 3: Cross multiply
    408,104x = 881,784 × 881,784
  4. Step 4: Simplify right side
    408,104x = 777,543,022,656
  5. Step 5: Solve for x
    x = 777,543,022,656/408,104
  6. Step 6: Final answer
    x = 1,905,257.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.