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Finding the Third Proportional to 569,741 and 902,177

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Solution

The third proportional to 569,741 and 902,177 is: 1,428,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,741 : 902,177 = 902,177 : x
  2. Step 2: Convert to fraction form
    569,741/902,177 = 902,177/x
  3. Step 3: Cross multiply
    569,741x = 902,177 × 902,177
  4. Step 4: Simplify right side
    569,741x = 813,923,339,329
  5. Step 5: Solve for x
    x = 813,923,339,329/569,741
  6. Step 6: Final answer
    x = 1,428,584.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.