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Finding the Third Proportional to 401,581 and 873,145

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Solution

The third proportional to 401,581 and 873,145 is: 1,898,451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,581 : 873,145 = 873,145 : x
  2. Step 2: Convert to fraction form
    401,581/873,145 = 873,145/x
  3. Step 3: Cross multiply
    401,581x = 873,145 × 873,145
  4. Step 4: Simplify right side
    401,581x = 762,382,191,025
  5. Step 5: Solve for x
    x = 762,382,191,025/401,581
  6. Step 6: Final answer
    x = 1,898,451.85

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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.