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Finding the Third Proportional to 829,068 and 1,784,976

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Solution

The third proportional to 829,068 and 1,784,976 is: 3,843,037.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,068 : 1,784,976 = 1,784,976 : x
  2. Step 2: Convert to fraction form
    829,068/1,784,976 = 1,784,976/x
  3. Step 3: Cross multiply
    829,068x = 1,784,976 × 1,784,976
  4. Step 4: Simplify right side
    829,068x = 3,186,139,320,576
  5. Step 5: Solve for x
    x = 3,186,139,320,576/829,068
  6. Step 6: Final answer
    x = 3,843,037.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.