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Finding the Third Proportional to 400,077 and 872,055

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Solution

The third proportional to 400,077 and 872,055 is: 1,900,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,077 : 872,055 = 872,055 : x
  2. Step 2: Convert to fraction form
    400,077/872,055 = 872,055/x
  3. Step 3: Cross multiply
    400,077x = 872,055 × 872,055
  4. Step 4: Simplify right side
    400,077x = 760,479,923,025
  5. Step 5: Solve for x
    x = 760,479,923,025/400,077
  6. Step 6: Final answer
    x = 1,900,833.90

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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.