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Finding the Third Proportional to 401,581 and 873,147

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Solution

The third proportional to 401,581 and 873,147 is: 1,898,460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,581 : 873,147 = 873,147 : x
  2. Step 2: Convert to fraction form
    401,581/873,147 = 873,147/x
  3. Step 3: Cross multiply
    401,581x = 873,147 × 873,147
  4. Step 4: Simplify right side
    401,581x = 762,385,683,609
  5. Step 5: Solve for x
    x = 762,385,683,609/401,581
  6. Step 6: Final answer
    x = 1,898,460.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.