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Finding the Third Proportional to 397,041 and 864,066

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Solution

The third proportional to 397,041 and 864,066 is: 1,880,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,041 : 864,066 = 864,066 : x
  2. Step 2: Convert to fraction form
    397,041/864,066 = 864,066/x
  3. Step 3: Cross multiply
    397,041x = 864,066 × 864,066
  4. Step 4: Simplify right side
    397,041x = 746,610,052,356
  5. Step 5: Solve for x
    x = 746,610,052,356/397,041
  6. Step 6: Final answer
    x = 1,880,435.65

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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.