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Finding the Third Proportional to 1,267,024 and 2,732,094

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Solution

The third proportional to 1,267,024 and 2,732,094 is: 5,891,236.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,024 : 2,732,094 = 2,732,094 : x
  2. Step 2: Convert to fraction form
    1,267,024/2,732,094 = 2,732,094/x
  3. Step 3: Cross multiply
    1,267,024x = 2,732,094 × 2,732,094
  4. Step 4: Simplify right side
    1,267,024x = 7,464,337,624,836
  5. Step 5: Solve for x
    x = 7,464,337,624,836/1,267,024
  6. Step 6: Final answer
    x = 5,891,236.18

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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.