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Finding the Third Proportional to 829,968 and 1,810,704

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Solution

The third proportional to 829,968 and 1,810,704 is: 3,950,331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,968 : 1,810,704 = 1,810,704 : x
  2. Step 2: Convert to fraction form
    829,968/1,810,704 = 1,810,704/x
  3. Step 3: Cross multiply
    829,968x = 1,810,704 × 1,810,704
  4. Step 4: Simplify right side
    829,968x = 3,278,648,975,616
  5. Step 5: Solve for x
    x = 3,278,648,975,616/829,968
  6. Step 6: Final answer
    x = 3,950,331.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.