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Finding the Third Proportional to 552,069 and 782,889

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Solution

The third proportional to 552,069 and 782,889 is: 1,110,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,069 : 782,889 = 782,889 : x
  2. Step 2: Convert to fraction form
    552,069/782,889 = 782,889/x
  3. Step 3: Cross multiply
    552,069x = 782,889 × 782,889
  4. Step 4: Simplify right side
    552,069x = 612,915,186,321
  5. Step 5: Solve for x
    x = 612,915,186,321/552,069
  6. Step 6: Final answer
    x = 1,110,214.82

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.