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Finding the Third Proportional to 3,421,712.25 and 5,296,371.75

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Solution

The third proportional to 3,421,712.25 and 5,296,371.75 is: 8,198,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421,712.25 : 5,296,371.75 = 5,296,371.75 : x
  2. Step 2: Convert to fraction form
    3,421,712.25/5,296,371.75 = 5,296,371.75/x
  3. Step 3: Cross multiply
    3,421,712.25x = 5,296,371.75 × 5,296,371.75
  4. Step 4: Simplify right side
    3,421,712.25x = 28,051,553,714,198.06
  5. Step 5: Solve for x
    x = 28,051,553,714,198.06/3,421,712.25
  6. Step 6: Final answer
    x = 8,198,104.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.