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Finding the Third Proportional to 869,326 and 1,833,042

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Solution

The third proportional to 869,326 and 1,833,042 is: 3,865,112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,326 : 1,833,042 = 1,833,042 : x
  2. Step 2: Convert to fraction form
    869,326/1,833,042 = 1,833,042/x
  3. Step 3: Cross multiply
    869,326x = 1,833,042 × 1,833,042
  4. Step 4: Simplify right side
    869,326x = 3,360,042,973,764
  5. Step 5: Solve for x
    x = 3,360,042,973,764/869,326
  6. Step 6: Final answer
    x = 3,865,112.71

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.