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Finding the Third Proportional to 1,843,435.97 and 4,024,558.41

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Solution

The third proportional to 1,843,435.97 and 4,024,558.41 is: 8,786,348.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,435.97 : 4,024,558.41 = 4,024,558.41 : x
  2. Step 2: Convert to fraction form
    1,843,435.97/4,024,558.41 = 4,024,558.41/x
  3. Step 3: Cross multiply
    1,843,435.97x = 4,024,558.41 × 4,024,558.41
  4. Step 4: Simplify right side
    1,843,435.97x = 16,197,070,365,317.54
  5. Step 5: Solve for x
    x = 16,197,070,365,317.54/1,843,435.97
  6. Step 6: Final answer
    x = 8,786,348.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.