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Finding the Third Proportional to 499,068 and 1,094,760

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Solution

The third proportional to 499,068 and 1,094,760 is: 2,401,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,068 : 1,094,760 = 1,094,760 : x
  2. Step 2: Convert to fraction form
    499,068/1,094,760 = 1,094,760/x
  3. Step 3: Cross multiply
    499,068x = 1,094,760 × 1,094,760
  4. Step 4: Simplify right side
    499,068x = 1,198,499,457,600
  5. Step 5: Solve for x
    x = 1,198,499,457,600/499,068
  6. Step 6: Final answer
    x = 2,401,475.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.