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Finding the Third Proportional to 399,054 and 886,686

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Solution

The third proportional to 399,054 and 886,686 is: 1,970,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,054 : 886,686 = 886,686 : x
  2. Step 2: Convert to fraction form
    399,054/886,686 = 886,686/x
  3. Step 3: Cross multiply
    399,054x = 886,686 × 886,686
  4. Step 4: Simplify right side
    399,054x = 786,212,062,596
  5. Step 5: Solve for x
    x = 786,212,062,596/399,054
  6. Step 6: Final answer
    x = 1,970,189.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.