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Finding the Third Proportional to 734,009 and 1,612,360

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Solution

The third proportional to 734,009 and 1,612,360 is: 3,541,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,009 : 1,612,360 = 1,612,360 : x
  2. Step 2: Convert to fraction form
    734,009/1,612,360 = 1,612,360/x
  3. Step 3: Cross multiply
    734,009x = 1,612,360 × 1,612,360
  4. Step 4: Simplify right side
    734,009x = 2,599,704,769,600
  5. Step 5: Solve for x
    x = 2,599,704,769,600/734,009
  6. Step 6: Final answer
    x = 3,541,788.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.