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Finding the Third Proportional to 1,131,140 and 2,341,016

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Solution

The third proportional to 1,131,140 and 2,341,016 is: 4,844,984.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131,140 : 2,341,016 = 2,341,016 : x
  2. Step 2: Convert to fraction form
    1,131,140/2,341,016 = 2,341,016/x
  3. Step 3: Cross multiply
    1,131,140x = 2,341,016 × 2,341,016
  4. Step 4: Simplify right side
    1,131,140x = 5,480,355,912,256
  5. Step 5: Solve for x
    x = 5,480,355,912,256/1,131,140
  6. Step 6: Final answer
    x = 4,844,984.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.