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Finding the Third Proportional to 722,933 and 1,082,211.50

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Solution

The third proportional to 722,933 and 1,082,211.50 is: 1,620,041.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,933 : 1,082,211.50 = 1,082,211.50 : x
  2. Step 2: Convert to fraction form
    722,933/1,082,211.50 = 1,082,211.50/x
  3. Step 3: Cross multiply
    722,933x = 1,082,211.50 × 1,082,211.50
  4. Step 4: Simplify right side
    722,933x = 1,171,181,730,732.25
  5. Step 5: Solve for x
    x = 1,171,181,730,732.25/722,933
  6. Step 6: Final answer
    x = 1,620,041.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.