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Finding the Third Proportional to 401,163 and 881,062

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Solution

The third proportional to 401,163 and 881,062 is: 1,935,049.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,163 : 881,062 = 881,062 : x
  2. Step 2: Convert to fraction form
    401,163/881,062 = 881,062/x
  3. Step 3: Cross multiply
    401,163x = 881,062 × 881,062
  4. Step 4: Simplify right side
    401,163x = 776,270,247,844
  5. Step 5: Solve for x
    x = 776,270,247,844/401,163
  6. Step 6: Final answer
    x = 1,935,049.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.