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Finding the Third Proportional to 405,105 and 873,014

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Solution

The third proportional to 405,105 and 873,014 is: 1,881,372.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,105 : 873,014 = 873,014 : x
  2. Step 2: Convert to fraction form
    405,105/873,014 = 873,014/x
  3. Step 3: Cross multiply
    405,105x = 873,014 × 873,014
  4. Step 4: Simplify right side
    405,105x = 762,153,444,196
  5. Step 5: Solve for x
    x = 762,153,444,196/405,105
  6. Step 6: Final answer
    x = 1,881,372.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.