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Finding the Third Proportional to 522,860 and 1,141,665

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Solution

The third proportional to 522,860 and 1,141,665 is: 2,492,825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,860 : 1,141,665 = 1,141,665 : x
  2. Step 2: Convert to fraction form
    522,860/1,141,665 = 1,141,665/x
  3. Step 3: Cross multiply
    522,860x = 1,141,665 × 1,141,665
  4. Step 4: Simplify right side
    522,860x = 1,303,398,972,225
  5. Step 5: Solve for x
    x = 1,303,398,972,225/522,860
  6. Step 6: Final answer
    x = 2,492,825.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.