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Finding the Third Proportional to 772,674 and 1,181,982

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Solution

The third proportional to 772,674 and 1,181,982 is: 1,808,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,674 : 1,181,982 = 1,181,982 : x
  2. Step 2: Convert to fraction form
    772,674/1,181,982 = 1,181,982/x
  3. Step 3: Cross multiply
    772,674x = 1,181,982 × 1,181,982
  4. Step 4: Simplify right side
    772,674x = 1,397,081,448,324
  5. Step 5: Solve for x
    x = 1,397,081,448,324/772,674
  6. Step 6: Final answer
    x = 1,808,112.41

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