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Finding the Third Proportional to 399,076 and 886,722

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Solution

The third proportional to 399,076 and 886,722 is: 1,970,241.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,076 : 886,722 = 886,722 : x
  2. Step 2: Convert to fraction form
    399,076/886,722 = 886,722/x
  3. Step 3: Cross multiply
    399,076x = 886,722 × 886,722
  4. Step 4: Simplify right side
    399,076x = 786,275,905,284
  5. Step 5: Solve for x
    x = 786,275,905,284/399,076
  6. Step 6: Final answer
    x = 1,970,241.02

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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.