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Finding the Third Proportional to 513,505.97 and 1,108,204.31

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Solution

The third proportional to 513,505.97 and 1,108,204.31 is: 2,391,631.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,505.97 : 1,108,204.31 = 1,108,204.31 : x
  2. Step 2: Convert to fraction form
    513,505.97/1,108,204.31 = 1,108,204.31/x
  3. Step 3: Cross multiply
    513,505.97x = 1,108,204.31 × 1,108,204.31
  4. Step 4: Simplify right side
    513,505.97x = 1,228,116,798,243.60
  5. Step 5: Solve for x
    x = 1,228,116,798,243.60/513,505.97
  6. Step 6: Final answer
    x = 2,391,631.01

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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.