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Finding the Third Proportional to 861,066 and 1,182,011

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Solution

The third proportional to 861,066 and 1,182,011 is: 1,622,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,066 : 1,182,011 = 1,182,011 : x
  2. Step 2: Convert to fraction form
    861,066/1,182,011 = 1,182,011/x
  3. Step 3: Cross multiply
    861,066x = 1,182,011 × 1,182,011
  4. Step 4: Simplify right side
    861,066x = 1,397,150,004,121
  5. Step 5: Solve for x
    x = 1,397,150,004,121/861,066
  6. Step 6: Final answer
    x = 1,622,581.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.