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Finding the Third Proportional to 392,881 and 857,729

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Solution

The third proportional to 392,881 and 857,729 is: 1,872,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,881 : 857,729 = 857,729 : x
  2. Step 2: Convert to fraction form
    392,881/857,729 = 857,729/x
  3. Step 3: Cross multiply
    392,881x = 857,729 × 857,729
  4. Step 4: Simplify right side
    392,881x = 735,699,037,441
  5. Step 5: Solve for x
    x = 735,699,037,441/392,881
  6. Step 6: Final answer
    x = 1,872,574.74

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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.