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Finding the Third Proportional to 392,887 and 857,741

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Solution

The third proportional to 392,887 and 857,741 is: 1,872,598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,887 : 857,741 = 857,741 : x
  2. Step 2: Convert to fraction form
    392,887/857,741 = 857,741/x
  3. Step 3: Cross multiply
    392,887x = 857,741 × 857,741
  4. Step 4: Simplify right side
    392,887x = 735,719,623,081
  5. Step 5: Solve for x
    x = 735,719,623,081/392,887
  6. Step 6: Final answer
    x = 1,872,598.54

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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.