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Finding the Third Proportional to 772,415.25 and 1,691,973

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Solution

The third proportional to 772,415.25 and 1,691,973 is: 3,706,261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,415.25 : 1,691,973 = 1,691,973 : x
  2. Step 2: Convert to fraction form
    772,415.25/1,691,973 = 1,691,973/x
  3. Step 3: Cross multiply
    772,415.25x = 1,691,973 × 1,691,973
  4. Step 4: Simplify right side
    772,415.25x = 2,862,772,632,729
  5. Step 5: Solve for x
    x = 2,862,772,632,729/772,415.25
  6. Step 6: Final answer
    x = 3,706,261.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.