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Finding the Third Proportional to 393,734 and 859,642

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Solution

The third proportional to 393,734 and 859,642 is: 1,876,861.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,734 : 859,642 = 859,642 : x
  2. Step 2: Convert to fraction form
    393,734/859,642 = 859,642/x
  3. Step 3: Cross multiply
    393,734x = 859,642 × 859,642
  4. Step 4: Simplify right side
    393,734x = 738,984,368,164
  5. Step 5: Solve for x
    x = 738,984,368,164/393,734
  6. Step 6: Final answer
    x = 1,876,861.96

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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.