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Finding the Third Proportional to 408,499 and 882,589

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Solution

The third proportional to 408,499 and 882,589 is: 1,906,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,499 : 882,589 = 882,589 : x
  2. Step 2: Convert to fraction form
    408,499/882,589 = 882,589/x
  3. Step 3: Cross multiply
    408,499x = 882,589 × 882,589
  4. Step 4: Simplify right side
    408,499x = 778,963,342,921
  5. Step 5: Solve for x
    x = 778,963,342,921/408,499
  6. Step 6: Final answer
    x = 1,906,891.68

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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.