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Finding the Third Proportional to 751,444 and 1,465,264

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Solution

The third proportional to 751,444 and 1,465,264 is: 2,857,163.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,444 : 1,465,264 = 1,465,264 : x
  2. Step 2: Convert to fraction form
    751,444/1,465,264 = 1,465,264/x
  3. Step 3: Cross multiply
    751,444x = 1,465,264 × 1,465,264
  4. Step 4: Simplify right side
    751,444x = 2,146,998,589,696
  5. Step 5: Solve for x
    x = 2,146,998,589,696/751,444
  6. Step 6: Final answer
    x = 2,857,163.79

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.