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Finding the Third Proportional to 389,154 and 852,120

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Solution

The third proportional to 389,154 and 852,120 is: 1,865,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,154 : 852,120 = 852,120 : x
  2. Step 2: Convert to fraction form
    389,154/852,120 = 852,120/x
  3. Step 3: Cross multiply
    389,154x = 852,120 × 852,120
  4. Step 4: Simplify right side
    389,154x = 726,108,494,400
  5. Step 5: Solve for x
    x = 726,108,494,400/389,154
  6. Step 6: Final answer
    x = 1,865,864.14

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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.