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Finding the Third Proportional to 499,256 and 1,077,236

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Solution

The third proportional to 499,256 and 1,077,236 is: 2,324,333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,256 : 1,077,236 = 1,077,236 : x
  2. Step 2: Convert to fraction form
    499,256/1,077,236 = 1,077,236/x
  3. Step 3: Cross multiply
    499,256x = 1,077,236 × 1,077,236
  4. Step 4: Simplify right side
    499,256x = 1,160,437,399,696
  5. Step 5: Solve for x
    x = 1,160,437,399,696/499,256
  6. Step 6: Final answer
    x = 2,324,333.41

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