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Finding the Third Proportional to 392,894 and 848,392

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Solution

The third proportional to 392,894 and 848,392 is: 1,831,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,894 : 848,392 = 848,392 : x
  2. Step 2: Convert to fraction form
    392,894/848,392 = 848,392/x
  3. Step 3: Cross multiply
    392,894x = 848,392 × 848,392
  4. Step 4: Simplify right side
    392,894x = 719,768,985,664
  5. Step 5: Solve for x
    x = 719,768,985,664/392,894
  6. Step 6: Final answer
    x = 1,831,967.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.