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Finding the Third Proportional to 2,202,066 and 3,100,953.38

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Solution

The third proportional to 2,202,066 and 3,100,953.38 is: 4,366,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202,066 : 3,100,953.38 = 3,100,953.38 : x
  2. Step 2: Convert to fraction form
    2,202,066/3,100,953.38 = 3,100,953.38/x
  3. Step 3: Cross multiply
    2,202,066x = 3,100,953.38 × 3,100,953.38
  4. Step 4: Simplify right side
    2,202,066x = 9,615,911,833,923.89
  5. Step 5: Solve for x
    x = 9,615,911,833,923.89/2,202,066
  6. Step 6: Final answer
    x = 4,366,768.22

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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.