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Finding the Third Proportional to 408,094 and 882,676

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Solution

The third proportional to 408,094 and 882,676 is: 1,909,160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,094 : 882,676 = 882,676 : x
  2. Step 2: Convert to fraction form
    408,094/882,676 = 882,676/x
  3. Step 3: Cross multiply
    408,094x = 882,676 × 882,676
  4. Step 4: Simplify right side
    408,094x = 779,116,920,976
  5. Step 5: Solve for x
    x = 779,116,920,976/408,094
  6. Step 6: Final answer
    x = 1,909,160.44

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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.