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Finding the Third Proportional to 389,110 and 852,034

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Solution

The third proportional to 389,110 and 852,034 is: 1,865,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,110 : 852,034 = 852,034 : x
  2. Step 2: Convert to fraction form
    389,110/852,034 = 852,034/x
  3. Step 3: Cross multiply
    389,110x = 852,034 × 852,034
  4. Step 4: Simplify right side
    389,110x = 725,961,937,156
  5. Step 5: Solve for x
    x = 725,961,937,156/389,110
  6. Step 6: Final answer
    x = 1,865,698.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.