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Finding the Third Proportional to 401,864 and 857,040

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Solution

The third proportional to 401,864 and 857,040 is: 1,827,776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,864 : 857,040 = 857,040 : x
  2. Step 2: Convert to fraction form
    401,864/857,040 = 857,040/x
  3. Step 3: Cross multiply
    401,864x = 857,040 × 857,040
  4. Step 4: Simplify right side
    401,864x = 734,517,561,600
  5. Step 5: Solve for x
    x = 734,517,561,600/401,864
  6. Step 6: Final answer
    x = 1,827,776.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.