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Finding the Third Proportional to 519,056 and 1,115,700

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Solution

The third proportional to 519,056 and 1,115,700 is: 2,398,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,056 : 1,115,700 = 1,115,700 : x
  2. Step 2: Convert to fraction form
    519,056/1,115,700 = 1,115,700/x
  3. Step 3: Cross multiply
    519,056x = 1,115,700 × 1,115,700
  4. Step 4: Simplify right side
    519,056x = 1,244,786,490,000
  5. Step 5: Solve for x
    x = 1,244,786,490,000/519,056
  6. Step 6: Final answer
    x = 2,398,173.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.