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Finding the Third Proportional to 3,051,941.41 and 4,204,191.41

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Solution

The third proportional to 3,051,941.41 and 4,204,191.41 is: 5,791,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051,941.41 : 4,204,191.41 = 4,204,191.41 : x
  2. Step 2: Convert to fraction form
    3,051,941.41/4,204,191.41 = 4,204,191.41/x
  3. Step 3: Cross multiply
    3,051,941.41x = 4,204,191.41 × 4,204,191.41
  4. Step 4: Simplify right side
    3,051,941.41x = 17,675,225,413,232.86
  5. Step 5: Solve for x
    x = 17,675,225,413,232.86/3,051,941.41
  6. Step 6: Final answer
    x = 5,791,469.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.