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Finding the Third Proportional to 541,948 and 1,191,148

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Solution

The third proportional to 541,948 and 1,191,148 is: 2,618,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,948 : 1,191,148 = 1,191,148 : x
  2. Step 2: Convert to fraction form
    541,948/1,191,148 = 1,191,148/x
  3. Step 3: Cross multiply
    541,948x = 1,191,148 × 1,191,148
  4. Step 4: Simplify right side
    541,948x = 1,418,833,557,904
  5. Step 5: Solve for x
    x = 1,418,833,557,904/541,948
  6. Step 6: Final answer
    x = 2,618,025.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.