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Finding the Third Proportional to 400,086 and 872,068

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Solution

The third proportional to 400,086 and 872,068 is: 1,900,847.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,086 : 872,068 = 872,068 : x
  2. Step 2: Convert to fraction form
    400,086/872,068 = 872,068/x
  3. Step 3: Cross multiply
    400,086x = 872,068 × 872,068
  4. Step 4: Simplify right side
    400,086x = 760,502,596,624
  5. Step 5: Solve for x
    x = 760,502,596,624/400,086
  6. Step 6: Final answer
    x = 1,900,847.81

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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.