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Finding the Third Proportional to 852,096 and 1,837,041

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Solution

The third proportional to 852,096 and 1,837,041 is: 3,960,492.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,096 : 1,837,041 = 1,837,041 : x
  2. Step 2: Convert to fraction form
    852,096/1,837,041 = 1,837,041/x
  3. Step 3: Cross multiply
    852,096x = 1,837,041 × 1,837,041
  4. Step 4: Simplify right side
    852,096x = 3,374,719,635,681
  5. Step 5: Solve for x
    x = 3,374,719,635,681/852,096
  6. Step 6: Final answer
    x = 3,960,492.29

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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.