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Finding the Third Proportional to 722,932 and 1,082,210

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Solution

The third proportional to 722,932 and 1,082,210 is: 1,620,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,932 : 1,082,210 = 1,082,210 : x
  2. Step 2: Convert to fraction form
    722,932/1,082,210 = 1,082,210/x
  3. Step 3: Cross multiply
    722,932x = 1,082,210 × 1,082,210
  4. Step 4: Simplify right side
    722,932x = 1,171,178,484,100
  5. Step 5: Solve for x
    x = 1,171,178,484,100/722,932
  6. Step 6: Final answer
    x = 1,620,039.62

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