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Finding the Third Proportional to 412,092 and 869,202

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Solution

The third proportional to 412,092 and 869,202 is: 1,833,357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,092 : 869,202 = 869,202 : x
  2. Step 2: Convert to fraction form
    412,092/869,202 = 869,202/x
  3. Step 3: Cross multiply
    412,092x = 869,202 × 869,202
  4. Step 4: Simplify right side
    412,092x = 755,512,116,804
  5. Step 5: Solve for x
    x = 755,512,116,804/412,092
  6. Step 6: Final answer
    x = 1,833,357.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.