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Finding the Third Proportional to 819,327 and 1,678,011

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Solution

The third proportional to 819,327 and 1,678,011 is: 3,436,626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,327 : 1,678,011 = 1,678,011 : x
  2. Step 2: Convert to fraction form
    819,327/1,678,011 = 1,678,011/x
  3. Step 3: Cross multiply
    819,327x = 1,678,011 × 1,678,011
  4. Step 4: Simplify right side
    819,327x = 2,815,720,916,121
  5. Step 5: Solve for x
    x = 2,815,720,916,121/819,327
  6. Step 6: Final answer
    x = 3,436,626.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.