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Finding the Third Proportional to 399,614 and 856,086

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Solution

The third proportional to 399,614 and 856,086 is: 1,833,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,614 : 856,086 = 856,086 : x
  2. Step 2: Convert to fraction form
    399,614/856,086 = 856,086/x
  3. Step 3: Cross multiply
    399,614x = 856,086 × 856,086
  4. Step 4: Simplify right side
    399,614x = 732,883,239,396
  5. Step 5: Solve for x
    x = 732,883,239,396/399,614
  6. Step 6: Final answer
    x = 1,833,977.89

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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.