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Finding the Third Proportional to 552,070 and 782,891

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Solution

The third proportional to 552,070 and 782,891 is: 1,110,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,070 : 782,891 = 782,891 : x
  2. Step 2: Convert to fraction form
    552,070/782,891 = 782,891/x
  3. Step 3: Cross multiply
    552,070x = 782,891 × 782,891
  4. Step 4: Simplify right side
    552,070x = 612,918,317,881
  5. Step 5: Solve for x
    x = 612,918,317,881/552,070
  6. Step 6: Final answer
    x = 1,110,218.48

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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.