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Finding the Third Proportional to 619,845 and 872,863

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Solution

The third proportional to 619,845 and 872,863 is: 1,229,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,845 : 872,863 = 872,863 : x
  2. Step 2: Convert to fraction form
    619,845/872,863 = 872,863/x
  3. Step 3: Cross multiply
    619,845x = 872,863 × 872,863
  4. Step 4: Simplify right side
    619,845x = 761,889,816,769
  5. Step 5: Solve for x
    x = 761,889,816,769/619,845
  6. Step 6: Final answer
    x = 1,229,161.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.