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Finding the Third Proportional to 405,086 and 887,930

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Solution

The third proportional to 405,086 and 887,930 is: 1,946,301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,086 : 887,930 = 887,930 : x
  2. Step 2: Convert to fraction form
    405,086/887,930 = 887,930/x
  3. Step 3: Cross multiply
    405,086x = 887,930 × 887,930
  4. Step 4: Simplify right side
    405,086x = 788,419,684,900
  5. Step 5: Solve for x
    x = 788,419,684,900/405,086
  6. Step 6: Final answer
    x = 1,946,301.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.