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Finding the Third Proportional to 399,116 and 886,819

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Solution

The third proportional to 399,116 and 886,819 is: 1,970,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,116 : 886,819 = 886,819 : x
  2. Step 2: Convert to fraction form
    399,116/886,819 = 886,819/x
  3. Step 3: Cross multiply
    399,116x = 886,819 × 886,819
  4. Step 4: Simplify right side
    399,116x = 786,447,938,761
  5. Step 5: Solve for x
    x = 786,447,938,761/399,116
  6. Step 6: Final answer
    x = 1,970,474.60

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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.