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Finding the Third Proportional to 389,784 and 852,468

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Solution

The third proportional to 389,784 and 852,468 is: 1,864,370.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,784 : 852,468 = 852,468 : x
  2. Step 2: Convert to fraction form
    389,784/852,468 = 852,468/x
  3. Step 3: Cross multiply
    389,784x = 852,468 × 852,468
  4. Step 4: Simplify right side
    389,784x = 726,701,691,024
  5. Step 5: Solve for x
    x = 726,701,691,024/389,784
  6. Step 6: Final answer
    x = 1,864,370.24

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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.