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Finding the Third Proportional to 711,538 and 1,541,173

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Solution

The third proportional to 711,538 and 1,541,173 is: 3,338,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,538 : 1,541,173 = 1,541,173 : x
  2. Step 2: Convert to fraction form
    711,538/1,541,173 = 1,541,173/x
  3. Step 3: Cross multiply
    711,538x = 1,541,173 × 1,541,173
  4. Step 4: Simplify right side
    711,538x = 2,375,214,215,929
  5. Step 5: Solve for x
    x = 2,375,214,215,929/711,538
  6. Step 6: Final answer
    x = 3,338,141.06

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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.