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Finding the Third Proportional to 829,392 and 1,789,536

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Solution

The third proportional to 829,392 and 1,789,536 is: 3,861,188.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,392 : 1,789,536 = 1,789,536 : x
  2. Step 2: Convert to fraction form
    829,392/1,789,536 = 1,789,536/x
  3. Step 3: Cross multiply
    829,392x = 1,789,536 × 1,789,536
  4. Step 4: Simplify right side
    829,392x = 3,202,439,095,296
  5. Step 5: Solve for x
    x = 3,202,439,095,296/829,392
  6. Step 6: Final answer
    x = 3,861,188.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.