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Finding the Third Proportional to 829,576 and 1,319,084

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Solution

The third proportional to 829,576 and 1,319,084 is: 2,097,436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,576 : 1,319,084 = 1,319,084 : x
  2. Step 2: Convert to fraction form
    829,576/1,319,084 = 1,319,084/x
  3. Step 3: Cross multiply
    829,576x = 1,319,084 × 1,319,084
  4. Step 4: Simplify right side
    829,576x = 1,739,982,599,056
  5. Step 5: Solve for x
    x = 1,739,982,599,056/829,576
  6. Step 6: Final answer
    x = 2,097,436.04

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.