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Finding the Third Proportional to 414,805 and 886,471

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Solution

The third proportional to 414,805 and 886,471 is: 1,894,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,805 : 886,471 = 886,471 : x
  2. Step 2: Convert to fraction form
    414,805/886,471 = 886,471/x
  3. Step 3: Cross multiply
    414,805x = 886,471 × 886,471
  4. Step 4: Simplify right side
    414,805x = 785,830,833,841
  5. Step 5: Solve for x
    x = 785,830,833,841/414,805
  6. Step 6: Final answer
    x = 1,894,458.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.