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Finding the Third Proportional to 408,063 and 883,914

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Solution

The third proportional to 408,063 and 883,914 is: 1,914,665.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,063 : 883,914 = 883,914 : x
  2. Step 2: Convert to fraction form
    408,063/883,914 = 883,914/x
  3. Step 3: Cross multiply
    408,063x = 883,914 × 883,914
  4. Step 4: Simplify right side
    408,063x = 781,303,959,396
  5. Step 5: Solve for x
    x = 781,303,959,396/408,063
  6. Step 6: Final answer
    x = 1,914,665.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.