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Finding the Third Proportional to 373,835.44 and 820,046.06

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Solution

The third proportional to 373,835.44 and 820,046.06 is: 1,798,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,835.44 : 820,046.06 = 820,046.06 : x
  2. Step 2: Convert to fraction form
    373,835.44/820,046.06 = 820,046.06/x
  3. Step 3: Cross multiply
    373,835.44x = 820,046.06 × 820,046.06
  4. Step 4: Simplify right side
    373,835.44x = 672,475,544,621.75
  5. Step 5: Solve for x
    x = 672,475,544,621.75/373,835.44
  6. Step 6: Final answer
    x = 1,798,854.46

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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.