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Finding the Third Proportional to 405,111 and 873,024

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Solution

The third proportional to 405,111 and 873,024 is: 1,881,387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,111 : 873,024 = 873,024 : x
  2. Step 2: Convert to fraction form
    405,111/873,024 = 873,024/x
  3. Step 3: Cross multiply
    405,111x = 873,024 × 873,024
  4. Step 4: Simplify right side
    405,111x = 762,170,904,576
  5. Step 5: Solve for x
    x = 762,170,904,576/405,111
  6. Step 6: Final answer
    x = 1,881,387.83

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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.