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Finding the Third Proportional to 1,438,538 and 2,147,961

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Solution

The third proportional to 1,438,538 and 2,147,961 is: 3,207,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438,538 : 2,147,961 = 2,147,961 : x
  2. Step 2: Convert to fraction form
    1,438,538/2,147,961 = 2,147,961/x
  3. Step 3: Cross multiply
    1,438,538x = 2,147,961 × 2,147,961
  4. Step 4: Simplify right side
    1,438,538x = 4,613,736,457,521
  5. Step 5: Solve for x
    x = 4,613,736,457,521/1,438,538
  6. Step 6: Final answer
    x = 3,207,239.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.