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Finding the Third Proportional to 538,390 and 1,165,940

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Solution

The third proportional to 538,390 and 1,165,940 is: 2,524,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,390 : 1,165,940 = 1,165,940 : x
  2. Step 2: Convert to fraction form
    538,390/1,165,940 = 1,165,940/x
  3. Step 3: Cross multiply
    538,390x = 1,165,940 × 1,165,940
  4. Step 4: Simplify right side
    538,390x = 1,359,416,083,600
  5. Step 5: Solve for x
    x = 1,359,416,083,600/538,390
  6. Step 6: Final answer
    x = 2,524,965.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.