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Finding the Third Proportional to 1,740,564.50 and 2,660,874.50

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Solution

The third proportional to 1,740,564.50 and 2,660,874.50 is: 4,067,791.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740,564.50 : 2,660,874.50 = 2,660,874.50 : x
  2. Step 2: Convert to fraction form
    1,740,564.50/2,660,874.50 = 2,660,874.50/x
  3. Step 3: Cross multiply
    1,740,564.50x = 2,660,874.50 × 2,660,874.50
  4. Step 4: Simplify right side
    1,740,564.50x = 7,080,253,104,750.25
  5. Step 5: Solve for x
    x = 7,080,253,104,750.25/1,740,564.50
  6. Step 6: Final answer
    x = 4,067,791.29

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.