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Finding the Third Proportional to 2,442,094 and 3,589,971

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Solution

The third proportional to 2,442,094 and 3,589,971 is: 5,277,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442,094 : 3,589,971 = 3,589,971 : x
  2. Step 2: Convert to fraction form
    2,442,094/3,589,971 = 3,589,971/x
  3. Step 3: Cross multiply
    2,442,094x = 3,589,971 × 3,589,971
  4. Step 4: Simplify right side
    2,442,094x = 12,887,891,780,841
  5. Step 5: Solve for x
    x = 12,887,891,780,841/2,442,094
  6. Step 6: Final answer
    x = 5,277,393.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.