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Finding the Third Proportional to 812,567 and 1,750,009

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Solution

The third proportional to 812,567 and 1,750,009 is: 3,768,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,567 : 1,750,009 = 1,750,009 : x
  2. Step 2: Convert to fraction form
    812,567/1,750,009 = 1,750,009/x
  3. Step 3: Cross multiply
    812,567x = 1,750,009 × 1,750,009
  4. Step 4: Simplify right side
    812,567x = 3,062,531,500,081
  5. Step 5: Solve for x
    x = 3,062,531,500,081/812,567
  6. Step 6: Final answer
    x = 3,768,958.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.