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Finding the Third Proportional to 947,834 and 1,229,616

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Solution

The third proportional to 947,834 and 1,229,616 is: 1,595,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,834 : 1,229,616 = 1,229,616 : x
  2. Step 2: Convert to fraction form
    947,834/1,229,616 = 1,229,616/x
  3. Step 3: Cross multiply
    947,834x = 1,229,616 × 1,229,616
  4. Step 4: Simplify right side
    947,834x = 1,511,955,507,456
  5. Step 5: Solve for x
    x = 1,511,955,507,456/947,834
  6. Step 6: Final answer
    x = 1,595,169.10

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.