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Finding the Third Proportional to 407,761 and 882,722

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Solution

The third proportional to 407,761 and 882,722 is: 1,910,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,761 : 882,722 = 882,722 : x
  2. Step 2: Convert to fraction form
    407,761/882,722 = 882,722/x
  3. Step 3: Cross multiply
    407,761x = 882,722 × 882,722
  4. Step 4: Simplify right side
    407,761x = 779,198,129,284
  5. Step 5: Solve for x
    x = 779,198,129,284/407,761
  6. Step 6: Final answer
    x = 1,910,918.72

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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.