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Finding the Third Proportional to 373,842 and 820,062

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Solution

The third proportional to 373,842 and 820,062 is: 1,798,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,842 : 820,062 = 820,062 : x
  2. Step 2: Convert to fraction form
    373,842/820,062 = 820,062/x
  3. Step 3: Cross multiply
    373,842x = 820,062 × 820,062
  4. Step 4: Simplify right side
    373,842x = 672,501,683,844
  5. Step 5: Solve for x
    x = 672,501,683,844/373,842
  6. Step 6: Final answer
    x = 1,798,892.80

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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.