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Finding the Third Proportional to 393,856 and 843,754

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Solution

The third proportional to 393,856 and 843,754 is: 1,807,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,856 : 843,754 = 843,754 : x
  2. Step 2: Convert to fraction form
    393,856/843,754 = 843,754/x
  3. Step 3: Cross multiply
    393,856x = 843,754 × 843,754
  4. Step 4: Simplify right side
    393,856x = 711,920,812,516
  5. Step 5: Solve for x
    x = 711,920,812,516/393,856
  6. Step 6: Final answer
    x = 1,807,566.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.