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Finding the Third Proportional to 829,704 and 1,809,576

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Solution

The third proportional to 829,704 and 1,809,576 is: 3,946,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,704 : 1,809,576 = 1,809,576 : x
  2. Step 2: Convert to fraction form
    829,704/1,809,576 = 1,809,576/x
  3. Step 3: Cross multiply
    829,704x = 1,809,576 × 1,809,576
  4. Step 4: Simplify right side
    829,704x = 3,274,565,299,776
  5. Step 5: Solve for x
    x = 3,274,565,299,776/829,704
  6. Step 6: Final answer
    x = 3,946,666.88

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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.