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Finding the Third Proportional to 772,718 and 1,182,027

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Solution

The third proportional to 772,718 and 1,182,027 is: 1,808,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,718 : 1,182,027 = 1,182,027 : x
  2. Step 2: Convert to fraction form
    772,718/1,182,027 = 1,182,027/x
  3. Step 3: Cross multiply
    772,718x = 1,182,027 × 1,182,027
  4. Step 4: Simplify right side
    772,718x = 1,397,187,828,729
  5. Step 5: Solve for x
    x = 1,397,187,828,729/772,718
  6. Step 6: Final answer
    x = 1,808,147.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.