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Finding the Third Proportional to 392,894 and 857,754

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Solution

The third proportional to 392,894 and 857,754 is: 1,872,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,894 : 857,754 = 857,754 : x
  2. Step 2: Convert to fraction form
    392,894/857,754 = 857,754/x
  3. Step 3: Cross multiply
    392,894x = 857,754 × 857,754
  4. Step 4: Simplify right side
    392,894x = 735,741,924,516
  5. Step 5: Solve for x
    x = 735,741,924,516/392,894
  6. Step 6: Final answer
    x = 1,872,621.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.