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Finding the Third Proportional to 749,168.44 and 1,618,043.06

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Solution

The third proportional to 749,168.44 and 1,618,043.06 is: 3,494,625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,168.44 : 1,618,043.06 = 1,618,043.06 : x
  2. Step 2: Convert to fraction form
    749,168.44/1,618,043.06 = 1,618,043.06/x
  3. Step 3: Cross multiply
    749,168.44x = 1,618,043.06 × 1,618,043.06
  4. Step 4: Simplify right side
    749,168.44x = 2,618,063,352,104.38
  5. Step 5: Solve for x
    x = 2,618,063,352,104.38/749,168.44
  6. Step 6: Final answer
    x = 3,494,625.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.