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Finding the Third Proportional to 2,113,180 and 3,210,180

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Solution

The third proportional to 2,113,180 and 3,210,180 is: 4,876,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113,180 : 3,210,180 = 3,210,180 : x
  2. Step 2: Convert to fraction form
    2,113,180/3,210,180 = 3,210,180/x
  3. Step 3: Cross multiply
    2,113,180x = 3,210,180 × 3,210,180
  4. Step 4: Simplify right side
    2,113,180x = 10,305,255,632,400
  5. Step 5: Solve for x
    x = 10,305,255,632,400/2,113,180
  6. Step 6: Final answer
    x = 4,876,657.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.