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Finding the Third Proportional to 1,277,538 and 2,765,460

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Solution

The third proportional to 1,277,538 and 2,765,460 is: 5,986,333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,538 : 2,765,460 = 2,765,460 : x
  2. Step 2: Convert to fraction form
    1,277,538/2,765,460 = 2,765,460/x
  3. Step 3: Cross multiply
    1,277,538x = 2,765,460 × 2,765,460
  4. Step 4: Simplify right side
    1,277,538x = 7,647,769,011,600
  5. Step 5: Solve for x
    x = 7,647,769,011,600/1,277,538
  6. Step 6: Final answer
    x = 5,986,333.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.