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Finding the Third Proportional to 772,640 and 1,182,016

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Solution

The third proportional to 772,640 and 1,182,016 is: 1,808,296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,640 : 1,182,016 = 1,182,016 : x
  2. Step 2: Convert to fraction form
    772,640/1,182,016 = 1,182,016/x
  3. Step 3: Cross multiply
    772,640x = 1,182,016 × 1,182,016
  4. Step 4: Simplify right side
    772,640x = 1,397,161,824,256
  5. Step 5: Solve for x
    x = 1,397,161,824,256/772,640
  6. Step 6: Final answer
    x = 1,808,296.00

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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.