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Finding the Third Proportional to 408,092 and 882,672

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Solution

The third proportional to 408,092 and 882,672 is: 1,909,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,092 : 882,672 = 882,672 : x
  2. Step 2: Convert to fraction form
    408,092/882,672 = 882,672/x
  3. Step 3: Cross multiply
    408,092x = 882,672 × 882,672
  4. Step 4: Simplify right side
    408,092x = 779,109,859,584
  5. Step 5: Solve for x
    x = 779,109,859,584/408,092
  6. Step 6: Final answer
    x = 1,909,152.49

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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.