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Finding the Third Proportional to 387,245 and 843,387

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Solution

The third proportional to 387,245 and 843,387 is: 1,836,825.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,245 : 843,387 = 843,387 : x
  2. Step 2: Convert to fraction form
    387,245/843,387 = 843,387/x
  3. Step 3: Cross multiply
    387,245x = 843,387 × 843,387
  4. Step 4: Simplify right side
    387,245x = 711,301,631,769
  5. Step 5: Solve for x
    x = 711,301,631,769/387,245
  6. Step 6: Final answer
    x = 1,836,825.86

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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.