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Finding the Third Proportional to 411,625.50 and 901,956

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Solution

The third proportional to 411,625.50 and 901,956 is: 1,976,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,625.50 : 901,956 = 901,956 : x
  2. Step 2: Convert to fraction form
    411,625.50/901,956 = 901,956/x
  3. Step 3: Cross multiply
    411,625.50x = 901,956 × 901,956
  4. Step 4: Simplify right side
    411,625.50x = 813,524,625,936
  5. Step 5: Solve for x
    x = 813,524,625,936/411,625.50
  6. Step 6: Final answer
    x = 1,976,370.82

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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.