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Finding the Third Proportional to 535,442 and 1,164,194

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Solution

The third proportional to 535,442 and 1,164,194 is: 2,531,268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,442 : 1,164,194 = 1,164,194 : x
  2. Step 2: Convert to fraction form
    535,442/1,164,194 = 1,164,194/x
  3. Step 3: Cross multiply
    535,442x = 1,164,194 × 1,164,194
  4. Step 4: Simplify right side
    535,442x = 1,355,347,669,636
  5. Step 5: Solve for x
    x = 1,355,347,669,636/535,442
  6. Step 6: Final answer
    x = 2,531,268.88

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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.