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Finding the Third Proportional to 399,071 and 886,714

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Solution

The third proportional to 399,071 and 886,714 is: 1,970,230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,071 : 886,714 = 886,714 : x
  2. Step 2: Convert to fraction form
    399,071/886,714 = 886,714/x
  3. Step 3: Cross multiply
    399,071x = 886,714 × 886,714
  4. Step 4: Simplify right side
    399,071x = 786,261,717,796
  5. Step 5: Solve for x
    x = 786,261,717,796/399,071
  6. Step 6: Final answer
    x = 1,970,230.15

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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.