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Finding the Third Proportional to 512,865 and 1,116,035

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Solution

The third proportional to 512,865 and 1,116,035 is: 2,428,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,865 : 1,116,035 = 1,116,035 : x
  2. Step 2: Convert to fraction form
    512,865/1,116,035 = 1,116,035/x
  3. Step 3: Cross multiply
    512,865x = 1,116,035 × 1,116,035
  4. Step 4: Simplify right side
    512,865x = 1,245,534,121,225
  5. Step 5: Solve for x
    x = 1,245,534,121,225/512,865
  6. Step 6: Final answer
    x = 2,428,580.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.