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Finding the Third Proportional to 392,546 and 851,476

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Solution

The third proportional to 392,546 and 851,476 is: 1,846,946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,546 : 851,476 = 851,476 : x
  2. Step 2: Convert to fraction form
    392,546/851,476 = 851,476/x
  3. Step 3: Cross multiply
    392,546x = 851,476 × 851,476
  4. Step 4: Simplify right side
    392,546x = 725,011,378,576
  5. Step 5: Solve for x
    x = 725,011,378,576/392,546
  6. Step 6: Final answer
    x = 1,846,946.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.