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Finding the Third Proportional to 499,208 and 1,077,146

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Solution

The third proportional to 499,208 and 1,077,146 is: 2,324,168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,208 : 1,077,146 = 1,077,146 : x
  2. Step 2: Convert to fraction form
    499,208/1,077,146 = 1,077,146/x
  3. Step 3: Cross multiply
    499,208x = 1,077,146 × 1,077,146
  4. Step 4: Simplify right side
    499,208x = 1,160,243,505,316
  5. Step 5: Solve for x
    x = 1,160,243,505,316/499,208
  6. Step 6: Final answer
    x = 2,324,168.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.