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Finding the Third Proportional to 827,089 and 1,801,326

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Solution

The third proportional to 827,089 and 1,801,326 is: 3,923,127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,089 : 1,801,326 = 1,801,326 : x
  2. Step 2: Convert to fraction form
    827,089/1,801,326 = 1,801,326/x
  3. Step 3: Cross multiply
    827,089x = 1,801,326 × 1,801,326
  4. Step 4: Simplify right side
    827,089x = 3,244,775,358,276
  5. Step 5: Solve for x
    x = 3,244,775,358,276/827,089
  6. Step 6: Final answer
    x = 3,923,127.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.