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Finding the Third Proportional to 389,824 and 852,548

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Solution

The third proportional to 389,824 and 852,548 is: 1,864,528.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,824 : 852,548 = 852,548 : x
  2. Step 2: Convert to fraction form
    389,824/852,548 = 852,548/x
  3. Step 3: Cross multiply
    389,824x = 852,548 × 852,548
  4. Step 4: Simplify right side
    389,824x = 726,838,092,304
  5. Step 5: Solve for x
    x = 726,838,092,304/389,824
  6. Step 6: Final answer
    x = 1,864,528.84

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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.