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Finding the Third Proportional to 566,811 and 1,197,605.25

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Solution

The third proportional to 566,811 and 1,197,605.25 is: 2,530,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,811 : 1,197,605.25 = 1,197,605.25 : x
  2. Step 2: Convert to fraction form
    566,811/1,197,605.25 = 1,197,605.25/x
  3. Step 3: Cross multiply
    566,811x = 1,197,605.25 × 1,197,605.25
  4. Step 4: Simplify right side
    566,811x = 1,434,258,334,827.56
  5. Step 5: Solve for x
    x = 1,434,258,334,827.56/566,811
  6. Step 6: Final answer
    x = 2,530,399.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.