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Finding the Third Proportional to 400,874.06 and 864,406.69

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Solution

The third proportional to 400,874.06 and 864,406.69 is: 1,863,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,874.06 : 864,406.69 = 864,406.69 : x
  2. Step 2: Convert to fraction form
    400,874.06/864,406.69 = 864,406.69/x
  3. Step 3: Cross multiply
    400,874.06x = 864,406.69 × 864,406.69
  4. Step 4: Simplify right side
    400,874.06x = 747,198,921,394.72
  5. Step 5: Solve for x
    x = 747,198,921,394.72/400,874.06
  6. Step 6: Final answer
    x = 1,863,924.34

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