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Finding the Third Proportional to 732,753 and 1,163,067

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Solution

The third proportional to 732,753 and 1,163,067 is: 1,846,085.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,753 : 1,163,067 = 1,163,067 : x
  2. Step 2: Convert to fraction form
    732,753/1,163,067 = 1,163,067/x
  3. Step 3: Cross multiply
    732,753x = 1,163,067 × 1,163,067
  4. Step 4: Simplify right side
    732,753x = 1,352,724,846,489
  5. Step 5: Solve for x
    x = 1,352,724,846,489/732,753
  6. Step 6: Final answer
    x = 1,846,085.72

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Why These Related Problems?

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