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Finding the Third Proportional to 399,033 and 886,625

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Solution

The third proportional to 399,033 and 886,625 is: 1,970,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,033 : 886,625 = 886,625 : x
  2. Step 2: Convert to fraction form
    399,033/886,625 = 886,625/x
  3. Step 3: Cross multiply
    399,033x = 886,625 × 886,625
  4. Step 4: Simplify right side
    399,033x = 786,103,890,625
  5. Step 5: Solve for x
    x = 786,103,890,625/399,033
  6. Step 6: Final answer
    x = 1,970,022.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.