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Finding the Third Proportional to 569,094 and 852,156

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Solution

The third proportional to 569,094 and 852,156 is: 1,276,010.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,094 : 852,156 = 852,156 : x
  2. Step 2: Convert to fraction form
    569,094/852,156 = 852,156/x
  3. Step 3: Cross multiply
    569,094x = 852,156 × 852,156
  4. Step 4: Simplify right side
    569,094x = 726,169,848,336
  5. Step 5: Solve for x
    x = 726,169,848,336/569,094
  6. Step 6: Final answer
    x = 1,276,010.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.