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Finding the Third Proportional to 494,575 and 1,059,115

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Solution

The third proportional to 494,575 and 1,059,115 is: 2,268,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,575 : 1,059,115 = 1,059,115 : x
  2. Step 2: Convert to fraction form
    494,575/1,059,115 = 1,059,115/x
  3. Step 3: Cross multiply
    494,575x = 1,059,115 × 1,059,115
  4. Step 4: Simplify right side
    494,575x = 1,121,724,583,225
  5. Step 5: Solve for x
    x = 1,121,724,583,225/494,575
  6. Step 6: Final answer
    x = 2,268,057.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.