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Finding the Third Proportional to 829,103 and 1,757,848

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Solution

The third proportional to 829,103 and 1,757,848 is: 3,726,955.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,103 : 1,757,848 = 1,757,848 : x
  2. Step 2: Convert to fraction form
    829,103/1,757,848 = 1,757,848/x
  3. Step 3: Cross multiply
    829,103x = 1,757,848 × 1,757,848
  4. Step 4: Simplify right side
    829,103x = 3,090,029,591,104
  5. Step 5: Solve for x
    x = 3,090,029,591,104/829,103
  6. Step 6: Final answer
    x = 3,726,955.02

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.